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Finding the Fourth Proportional to 97,842.60, 146,763.90 and 88,511.40

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Solution

The fourth proportional to 97,842.60, 146,763.90 and 88,511.40 is: 132,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,842.60 : 146,763.90 = 88,511.40 : x
  2. Step 2: Convert to fraction form
    97,842.60/146,763.90 = 88,511.40/x
  3. Step 3: Cross multiply
    97,842.60x = 146,763.90 × 88,511.40
  4. Step 4: Simplify right side
    97,842.60x = 12,990,278,258.46
  5. Step 5: Solve for x
    x = 12,990,278,258.46/97,842.60
  6. Step 6: Final answer
    x = 132,767.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.