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Finding the Fourth Proportional to 105,821.64, 145,992.30 and 60,475.30

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Solution

The fourth proportional to 105,821.64, 145,992.30 and 60,475.30 is: 83,432.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,821.64 : 145,992.30 = 60,475.30 : x
  2. Step 2: Convert to fraction form
    105,821.64/145,992.30 = 60,475.30/x
  3. Step 3: Cross multiply
    105,821.64x = 145,992.30 × 60,475.30
  4. Step 4: Simplify right side
    105,821.64x = 8,828,928,140.19
  5. Step 5: Solve for x
    x = 8,828,928,140.19/105,821.64
  6. Step 6: Final answer
    x = 83,432.16

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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.