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Finding the Fourth Proportional to 261,785.59, 392,549.08 and 153,742.06

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Solution

The fourth proportional to 261,785.59, 392,549.08 and 153,742.06 is: 230,537.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,785.59 : 392,549.08 = 153,742.06 : x
  2. Step 2: Convert to fraction form
    261,785.59/392,549.08 = 153,742.06/x
  3. Step 3: Cross multiply
    261,785.59x = 392,549.08 × 153,742.06
  4. Step 4: Simplify right side
    261,785.59x = 60,351,304,210.30
  5. Step 5: Solve for x
    x = 60,351,304,210.30/261,785.59
  6. Step 6: Final answer
    x = 230,537.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.