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Finding the Fourth Proportional to 157,095.90, 235,384.65 and 133,767.90

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Solution

The fourth proportional to 157,095.90, 235,384.65 and 133,767.90 is: 200,431.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,095.90 : 235,384.65 = 133,767.90 : x
  2. Step 2: Convert to fraction form
    157,095.90/235,384.65 = 133,767.90/x
  3. Step 3: Cross multiply
    157,095.90x = 235,384.65 × 133,767.90
  4. Step 4: Simplify right side
    157,095.90x = 31,486,910,322.74
  5. Step 5: Solve for x
    x = 31,486,910,322.74/157,095.90
  6. Step 6: Final answer
    x = 200,431.14

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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.