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Finding the Fourth Proportional to 142,038.64, 196,013.88 and 78,378.28

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Solution

The fourth proportional to 142,038.64, 196,013.88 and 78,378.28 is: 108,162.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,038.64 : 196,013.88 = 78,378.28 : x
  2. Step 2: Convert to fraction form
    142,038.64/196,013.88 = 78,378.28/x
  3. Step 3: Cross multiply
    142,038.64x = 196,013.88 × 78,378.28
  4. Step 4: Simplify right side
    142,038.64x = 15,363,230,770.53
  5. Step 5: Solve for x
    x = 15,363,230,770.53/142,038.64
  6. Step 6: Final answer
    x = 108,162.33

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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.