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Finding the Fourth Proportional to 102,298.32, 141,219.72 and 88,634.16

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Solution

The fourth proportional to 102,298.32, 141,219.72 and 88,634.16 is: 122,356.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,298.32 : 141,219.72 = 88,634.16 : x
  2. Step 2: Convert to fraction form
    102,298.32/141,219.72 = 88,634.16/x
  3. Step 3: Cross multiply
    102,298.32x = 141,219.72 × 88,634.16
  4. Step 4: Simplify right side
    102,298.32x = 12,516,891,257.64
  5. Step 5: Solve for x
    x = 12,516,891,257.64/102,298.32
  6. Step 6: Final answer
    x = 122,356.76

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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.