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Finding the Fourth Proportional to 157,097.90, 235,387.65 and 133,769.90

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Solution

The fourth proportional to 157,097.90, 235,387.65 and 133,769.90 is: 200,434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,097.90 : 235,387.65 = 133,769.90 : x
  2. Step 2: Convert to fraction form
    157,097.90/235,387.65 = 133,769.90/x
  3. Step 3: Cross multiply
    157,097.90x = 235,387.65 × 133,769.90
  4. Step 4: Simplify right side
    157,097.90x = 31,487,782,401.74
  5. Step 5: Solve for x
    x = 31,487,782,401.74/157,097.90
  6. Step 6: Final answer
    x = 200,434.14

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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.