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Finding the Fourth Proportional to 229,314.30, 316,443.09 and 127,346.24

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Solution

The fourth proportional to 229,314.30, 316,443.09 and 127,346.24 is: 175,731.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,314.30 : 316,443.09 = 127,346.24 : x
  2. Step 2: Convert to fraction form
    229,314.30/316,443.09 = 127,346.24/x
  3. Step 3: Cross multiply
    229,314.30x = 316,443.09 × 127,346.24
  4. Step 4: Simplify right side
    229,314.30x = 40,297,837,685.48
  5. Step 5: Solve for x
    x = 40,297,837,685.48/229,314.30
  6. Step 6: Final answer
    x = 175,731.90

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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.