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Finding the Fourth Proportional to 102,697.20, 141,646.32 and 64,935

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Solution

The fourth proportional to 102,697.20, 141,646.32 and 64,935 is: 89,562.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,697.20 : 141,646.32 = 64,935 : x
  2. Step 2: Convert to fraction form
    102,697.20/141,646.32 = 64,935/x
  3. Step 3: Cross multiply
    102,697.20x = 141,646.32 × 64,935
  4. Step 4: Simplify right side
    102,697.20x = 9,197,803,789.20
  5. Step 5: Solve for x
    x = 9,197,803,789.20/102,697.20
  6. Step 6: Final answer
    x = 89,562.36

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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.