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Finding the Fourth Proportional to 102,711.30, 154,066.95 and 86,964.90

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Solution

The fourth proportional to 102,711.30, 154,066.95 and 86,964.90 is: 130,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,711.30 : 154,066.95 = 86,964.90 : x
  2. Step 2: Convert to fraction form
    102,711.30/154,066.95 = 86,964.90/x
  3. Step 3: Cross multiply
    102,711.30x = 154,066.95 × 86,964.90
  4. Step 4: Simplify right side
    102,711.30x = 13,398,416,900.06
  5. Step 5: Solve for x
    x = 13,398,416,900.06/102,711.30
  6. Step 6: Final answer
    x = 130,447.35

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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.