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Finding the Fourth Proportional to 107,132.68, 147,827.56 and 59,386

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Solution

The fourth proportional to 107,132.68, 147,827.56 and 59,386 is: 81,944.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,132.68 : 147,827.56 = 59,386 : x
  2. Step 2: Convert to fraction form
    107,132.68/147,827.56 = 59,386/x
  3. Step 3: Cross multiply
    107,132.68x = 147,827.56 × 59,386
  4. Step 4: Simplify right side
    107,132.68x = 8,778,887,478.16
  5. Step 5: Solve for x
    x = 8,778,887,478.16/107,132.68
  6. Step 6: Final answer
    x = 81,944.07

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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.