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Finding the Fourth Proportional to 157,714.81, 236,571 and 39,385.36

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Solution

The fourth proportional to 157,714.81, 236,571 and 39,385.36 is: 59,077.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,714.81 : 236,571 = 39,385.36 : x
  2. Step 2: Convert to fraction form
    157,714.81/236,571 = 39,385.36/x
  3. Step 3: Cross multiply
    157,714.81x = 236,571 × 39,385.36
  4. Step 4: Simplify right side
    157,714.81x = 9,317,434,000.56
  5. Step 5: Solve for x
    x = 9,317,434,000.56/157,714.81
  6. Step 6: Final answer
    x = 59,077.74

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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.