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Finding the Fourth Proportional to 142,000.26, 195,950.66 and 78,339.12

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Solution

The fourth proportional to 142,000.26, 195,950.66 and 78,339.12 is: 108,102.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,000.26 : 195,950.66 = 78,339.12 : x
  2. Step 2: Convert to fraction form
    142,000.26/195,950.66 = 78,339.12/x
  3. Step 3: Cross multiply
    142,000.26x = 195,950.66 × 78,339.12
  4. Step 4: Simplify right side
    142,000.26x = 15,350,602,267.82
  5. Step 5: Solve for x
    x = 15,350,602,267.82/142,000.26
  6. Step 6: Final answer
    x = 108,102.63

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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.