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Finding the Fourth Proportional to 142,030.50, 196,006.16 and 78,372.39

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Solution

The fourth proportional to 142,030.50, 196,006.16 and 78,372.39 is: 108,156.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,030.50 : 196,006.16 = 78,372.39 : x
  2. Step 2: Convert to fraction form
    142,030.50/196,006.16 = 78,372.39/x
  3. Step 3: Cross multiply
    142,030.50x = 196,006.16 × 78,372.39
  4. Step 4: Simplify right side
    142,030.50x = 15,361,470,822.06
  5. Step 5: Solve for x
    x = 15,361,470,822.06/142,030.50
  6. Step 6: Final answer
    x = 108,156.15

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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.