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Finding the Fourth Proportional to 132,097.90, 197,808.54 and 72,867.74

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Solution

The fourth proportional to 132,097.90, 197,808.54 and 72,867.74 is: 109,114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,097.90 : 197,808.54 = 72,867.74 : x
  2. Step 2: Convert to fraction form
    132,097.90/197,808.54 = 72,867.74/x
  3. Step 3: Cross multiply
    132,097.90x = 197,808.54 × 72,867.74
  4. Step 4: Simplify right side
    132,097.90x = 14,413,861,262.50
  5. Step 5: Solve for x
    x = 14,413,861,262.50/132,097.90
  6. Step 6: Final answer
    x = 109,114.99

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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.