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Finding the Fourth Proportional to 157,254.40, 217,084.62 and 100,698.04

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Solution

The fourth proportional to 157,254.40, 217,084.62 and 100,698.04 is: 139,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,254.40 : 217,084.62 = 100,698.04 : x
  2. Step 2: Convert to fraction form
    157,254.40/217,084.62 = 100,698.04/x
  3. Step 3: Cross multiply
    157,254.40x = 217,084.62 × 100,698.04
  4. Step 4: Simplify right side
    157,254.40x = 21,859,995,748.14
  5. Step 5: Solve for x
    x = 21,859,995,748.14/157,254.40
  6. Step 6: Final answer
    x = 139,010.39

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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.