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Finding the Fourth Proportional to 142,260.96, 196,320.48 and 77,730.96

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Solution

The fourth proportional to 142,260.96, 196,320.48 and 77,730.96 is: 107,268.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,260.96 : 196,320.48 = 77,730.96 : x
  2. Step 2: Convert to fraction form
    142,260.96/196,320.48 = 77,730.96/x
  3. Step 3: Cross multiply
    142,260.96x = 196,320.48 × 77,730.96
  4. Step 4: Simplify right side
    142,260.96x = 15,260,179,378.06
  5. Step 5: Solve for x
    x = 15,260,179,378.06/142,260.96
  6. Step 6: Final answer
    x = 107,268.92

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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.