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Finding the Fourth Proportional to 142,444.72, 196,572.72 and 78,780.16

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Solution

The fourth proportional to 142,444.72, 196,572.72 and 78,780.16 is: 108,716.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,444.72 : 196,572.72 = 78,780.16 : x
  2. Step 2: Convert to fraction form
    142,444.72/196,572.72 = 78,780.16/x
  3. Step 3: Cross multiply
    142,444.72x = 196,572.72 × 78,780.16
  4. Step 4: Simplify right side
    142,444.72x = 15,486,030,333.24
  5. Step 5: Solve for x
    x = 15,486,030,333.24/142,444.72
  6. Step 6: Final answer
    x = 108,716.07

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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.