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Finding the Fourth Proportional to 142,007.70, 195,967.35 and 78,345.48

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Solution

The fourth proportional to 142,007.70, 195,967.35 and 78,345.48 is: 108,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,007.70 : 195,967.35 = 78,345.48 : x
  2. Step 2: Convert to fraction form
    142,007.70/195,967.35 = 78,345.48/x
  3. Step 3: Cross multiply
    142,007.70x = 195,967.35 × 78,345.48
  4. Step 4: Simplify right side
    142,007.70x = 15,353,156,100.08
  5. Step 5: Solve for x
    x = 15,353,156,100.08/142,007.70
  6. Step 6: Final answer
    x = 108,114.96

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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.