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Finding the Fourth Proportional to 147,698.64, 221,599.80 and 92,229.84

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Solution

The fourth proportional to 147,698.64, 221,599.80 and 92,229.84 is: 138,377.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,698.64 : 221,599.80 = 92,229.84 : x
  2. Step 2: Convert to fraction form
    147,698.64/221,599.80 = 92,229.84/x
  3. Step 3: Cross multiply
    147,698.64x = 221,599.80 × 92,229.84
  4. Step 4: Simplify right side
    147,698.64x = 20,438,114,098.03
  5. Step 5: Solve for x
    x = 20,438,114,098.03/147,698.64
  6. Step 6: Final answer
    x = 138,377.13

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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.