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Finding the Fourth Proportional to 157,053.90, 235,321.65 and 133,725.90

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Solution

The fourth proportional to 157,053.90, 235,321.65 and 133,725.90 is: 200,368.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,053.90 : 235,321.65 = 133,725.90 : x
  2. Step 2: Convert to fraction form
    157,053.90/235,321.65 = 133,725.90/x
  3. Step 3: Cross multiply
    157,053.90x = 235,321.65 × 133,725.90
  4. Step 4: Simplify right side
    157,053.90x = 31,468,599,435.74
  5. Step 5: Solve for x
    x = 31,468,599,435.74/157,053.90
  6. Step 6: Final answer
    x = 200,368.15

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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.