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Finding the Fourth Proportional to 102,856.66, 141,885.03 and 59,831.31

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Solution

The fourth proportional to 102,856.66, 141,885.03 and 59,831.31 is: 82,533.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,856.66 : 141,885.03 = 59,831.31 : x
  2. Step 2: Convert to fraction form
    102,856.66/141,885.03 = 59,831.31/x
  3. Step 3: Cross multiply
    102,856.66x = 141,885.03 × 59,831.31
  4. Step 4: Simplify right side
    102,856.66x = 8,489,167,004.35
  5. Step 5: Solve for x
    x = 8,489,167,004.35/102,856.66
  6. Step 6: Final answer
    x = 82,533.96

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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.