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Finding the Fourth Proportional to 105,528.92, 158,292.06 and 42,377

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Solution

The fourth proportional to 105,528.92, 158,292.06 and 42,377 is: 63,564.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,528.92 : 158,292.06 = 42,377 : x
  2. Step 2: Convert to fraction form
    105,528.92/158,292.06 = 42,377/x
  3. Step 3: Cross multiply
    105,528.92x = 158,292.06 × 42,377
  4. Step 4: Simplify right side
    105,528.92x = 6,707,942,626.62
  5. Step 5: Solve for x
    x = 6,707,942,626.62/105,528.92
  6. Step 6: Final answer
    x = 63,564.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.