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Finding the Fourth Proportional to 105,134.77, 145,064.32 and 60,414.13

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Solution

The fourth proportional to 105,134.77, 145,064.32 and 60,414.13 is: 83,359.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,134.77 : 145,064.32 = 60,414.13 : x
  2. Step 2: Convert to fraction form
    105,134.77/145,064.32 = 60,414.13/x
  3. Step 3: Cross multiply
    105,134.77x = 145,064.32 × 60,414.13
  4. Step 4: Simplify right side
    105,134.77x = 8,763,934,686.84
  5. Step 5: Solve for x
    x = 8,763,934,686.84/105,134.77
  6. Step 6: Final answer
    x = 83,359.05

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