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Finding the Fourth Proportional to 105,521.60, 145,633.67 and 60,189.17

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Solution

The fourth proportional to 105,521.60, 145,633.67 and 60,189.17 is: 83,068.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,521.60 : 145,633.67 = 60,189.17 : x
  2. Step 2: Convert to fraction form
    105,521.60/145,633.67 = 60,189.17/x
  3. Step 3: Cross multiply
    105,521.60x = 145,633.67 × 60,189.17
  4. Step 4: Simplify right side
    105,521.60x = 8,765,569,721.35
  5. Step 5: Solve for x
    x = 8,765,569,721.35/105,521.60
  6. Step 6: Final answer
    x = 83,068.96

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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.