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Finding the Fourth Proportional to 105,737.76, 145,904.62 and 60,418.68

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Solution

The fourth proportional to 105,737.76, 145,904.62 and 60,418.68 is: 83,370.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,737.76 : 145,904.62 = 60,418.68 : x
  2. Step 2: Convert to fraction form
    105,737.76/145,904.62 = 60,418.68/x
  3. Step 3: Cross multiply
    105,737.76x = 145,904.62 × 60,418.68
  4. Step 4: Simplify right side
    105,737.76x = 8,815,364,546.30
  5. Step 5: Solve for x
    x = 8,815,364,546.30/105,737.76
  6. Step 6: Final answer
    x = 83,370.07

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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.