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Finding the Fourth Proportional to 106,959.29, 160,285.84 and 60,113.75

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Solution

The fourth proportional to 106,959.29, 160,285.84 and 60,113.75 is: 90,084.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,959.29 : 160,285.84 = 60,113.75 : x
  2. Step 2: Convert to fraction form
    106,959.29/160,285.84 = 60,113.75/x
  3. Step 3: Cross multiply
    106,959.29x = 160,285.84 × 60,113.75
  4. Step 4: Simplify right side
    106,959.29x = 9,635,381,962.59
  5. Step 5: Solve for x
    x = 9,635,381,962.59/106,959.29
  6. Step 6: Final answer
    x = 90,084.58

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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.