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Finding the Fourth Proportional to 142,009.40, 195,972.54 and 78,354.20

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Solution

The fourth proportional to 142,009.40, 195,972.54 and 78,354.20 is: 108,128.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,009.40 : 195,972.54 = 78,354.20 : x
  2. Step 2: Convert to fraction form
    142,009.40/195,972.54 = 78,354.20/x
  3. Step 3: Cross multiply
    142,009.40x = 195,972.54 × 78,354.20
  4. Step 4: Simplify right side
    142,009.40x = 15,355,271,593.67
  5. Step 5: Solve for x
    x = 15,355,271,593.67/142,009.40
  6. Step 6: Final answer
    x = 108,128.56

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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.