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Finding the Fourth Proportional to 159,418, 239,166.06 and 47,097.52

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Solution

The fourth proportional to 159,418, 239,166.06 and 47,097.52 is: 70,657.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,418 : 239,166.06 = 47,097.52 : x
  2. Step 2: Convert to fraction form
    159,418/239,166.06 = 47,097.52/x
  3. Step 3: Cross multiply
    159,418x = 239,166.06 × 47,097.52
  4. Step 4: Simplify right side
    159,418x = 11,264,128,294.17
  5. Step 5: Solve for x
    x = 11,264,128,294.17/159,418
  6. Step 6: Final answer
    x = 70,657.82

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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.