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Finding the Fourth Proportional to 130,862.90, 196,294.42 and 42,116.40

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Solution

The fourth proportional to 130,862.90, 196,294.42 and 42,116.40 is: 63,174.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,862.90 : 196,294.42 = 42,116.40 : x
  2. Step 2: Convert to fraction form
    130,862.90/196,294.42 = 42,116.40/x
  3. Step 3: Cross multiply
    130,862.90x = 196,294.42 × 42,116.40
  4. Step 4: Simplify right side
    130,862.90x = 8,267,214,363.13
  5. Step 5: Solve for x
    x = 8,267,214,363.13/130,862.90
  6. Step 6: Final answer
    x = 63,174.62

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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.