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Finding the Fourth Proportional to 157,002.96, 216,657.48 and 89,024.52

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Solution

The fourth proportional to 157,002.96, 216,657.48 and 89,024.52 is: 122,850.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,002.96 : 216,657.48 = 89,024.52 : x
  2. Step 2: Convert to fraction form
    157,002.96/216,657.48 = 89,024.52/x
  3. Step 3: Cross multiply
    157,002.96x = 216,657.48 × 89,024.52
  4. Step 4: Simplify right side
    157,002.96x = 19,287,828,161.41
  5. Step 5: Solve for x
    x = 19,287,828,161.41/157,002.96
  6. Step 6: Final answer
    x = 122,850.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.