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Finding the Fourth Proportional to 261,546.90, 392,223.15 and 103,742.70

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Solution

The fourth proportional to 261,546.90, 392,223.15 and 103,742.70 is: 155,575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,546.90 : 392,223.15 = 103,742.70 : x
  2. Step 2: Convert to fraction form
    261,546.90/392,223.15 = 103,742.70/x
  3. Step 3: Cross multiply
    261,546.90x = 392,223.15 × 103,742.70
  4. Step 4: Simplify right side
    261,546.90x = 40,690,288,583.51
  5. Step 5: Solve for x
    x = 40,690,288,583.51/261,546.90
  6. Step 6: Final answer
    x = 155,575.50

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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.