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Finding the Fourth Proportional to 229,431.98, 316,661.15 and 146,592.71

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Solution

The fourth proportional to 229,431.98, 316,661.15 and 146,592.71 is: 202,326.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,431.98 : 316,661.15 = 146,592.71 : x
  2. Step 2: Convert to fraction form
    229,431.98/316,661.15 = 146,592.71/x
  3. Step 3: Cross multiply
    229,431.98x = 316,661.15 × 146,592.71
  4. Step 4: Simplify right side
    229,431.98x = 46,420,213,813.95
  5. Step 5: Solve for x
    x = 46,420,213,813.95/229,431.98
  6. Step 6: Final answer
    x = 202,326.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.