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Finding the Fourth Proportional to 105,737.27, 145,903.94 and 60,418.19

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Solution

The fourth proportional to 105,737.27, 145,903.94 and 60,418.19 is: 83,369.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,737.27 : 145,903.94 = 60,418.19 : x
  2. Step 2: Convert to fraction form
    105,737.27/145,903.94 = 60,418.19/x
  3. Step 3: Cross multiply
    105,737.27x = 145,903.94 × 60,418.19
  4. Step 4: Simplify right side
    105,737.27x = 8,815,250,937.06
  5. Step 5: Solve for x
    x = 8,815,250,937.06/105,737.27
  6. Step 6: Final answer
    x = 83,369.39

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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.