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Finding the Fourth Proportional to 117,242.35, 176,098.92 and 69,949.84

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Solution

The fourth proportional to 117,242.35, 176,098.92 and 69,949.84 is: 105,065.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,242.35 : 176,098.92 = 69,949.84 : x
  2. Step 2: Convert to fraction form
    117,242.35/176,098.92 = 69,949.84/x
  3. Step 3: Cross multiply
    117,242.35x = 176,098.92 × 69,949.84
  4. Step 4: Simplify right side
    117,242.35x = 12,318,091,278.17
  5. Step 5: Solve for x
    x = 12,318,091,278.17/117,242.35
  6. Step 6: Final answer
    x = 105,065.20

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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.