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Finding the Fourth Proportional to 102,856.38, 141,884.67 and 59,831.01

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Solution

The fourth proportional to 102,856.38, 141,884.67 and 59,831.01 is: 82,533.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,856.38 : 141,884.67 = 59,831.01 : x
  2. Step 2: Convert to fraction form
    102,856.38/141,884.67 = 59,831.01/x
  3. Step 3: Cross multiply
    102,856.38x = 141,884.67 × 59,831.01
  4. Step 4: Simplify right side
    102,856.38x = 8,489,103,109.62
  5. Step 5: Solve for x
    x = 8,489,103,109.62/102,856.38
  6. Step 6: Final answer
    x = 82,533.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.