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Finding the Fourth Proportional to 229,045.08, 316,092.16 and 152,441.76

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Solution

The fourth proportional to 229,045.08, 316,092.16 and 152,441.76 is: 210,376.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,045.08 : 316,092.16 = 152,441.76 : x
  2. Step 2: Convert to fraction form
    229,045.08/316,092.16 = 152,441.76/x
  3. Step 3: Cross multiply
    229,045.08x = 316,092.16 × 152,441.76
  4. Step 4: Simplify right side
    229,045.08x = 48,185,645,192.60
  5. Step 5: Solve for x
    x = 48,185,645,192.60/229,045.08
  6. Step 6: Final answer
    x = 210,376.25

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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.