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Finding the Fourth Proportional to 102,327.71, 141,162.35 and 66,019.25

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Solution

The fourth proportional to 102,327.71, 141,162.35 and 66,019.25 is: 91,074.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,327.71 : 141,162.35 = 66,019.25 : x
  2. Step 2: Convert to fraction form
    102,327.71/141,162.35 = 66,019.25/x
  3. Step 3: Cross multiply
    102,327.71x = 141,162.35 × 66,019.25
  4. Step 4: Simplify right side
    102,327.71x = 9,319,432,498.05
  5. Step 5: Solve for x
    x = 9,319,432,498.05/102,327.71
  6. Step 6: Final answer
    x = 91,074.38

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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.