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Finding the Fourth Proportional to 157,493.59, 236,351.09 and 142,436.10

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Solution

The fourth proportional to 157,493.59, 236,351.09 and 142,436.10 is: 213,754.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,493.59 : 236,351.09 = 142,436.10 : x
  2. Step 2: Convert to fraction form
    157,493.59/236,351.09 = 142,436.10/x
  3. Step 3: Cross multiply
    157,493.59x = 236,351.09 × 142,436.10
  4. Step 4: Simplify right side
    157,493.59x = 33,664,927,490.35
  5. Step 5: Solve for x
    x = 33,664,927,490.35/157,493.59
  6. Step 6: Final answer
    x = 213,754.27

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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.