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Finding the Fourth Proportional to 147,951.74, 221,929.24 and 42,771.62

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Solution

The fourth proportional to 147,951.74, 221,929.24 and 42,771.62 is: 64,157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,951.74 : 221,929.24 = 42,771.62 : x
  2. Step 2: Convert to fraction form
    147,951.74/221,929.24 = 42,771.62/x
  3. Step 3: Cross multiply
    147,951.74x = 221,929.24 × 42,771.62
  4. Step 4: Simplify right side
    147,951.74x = 9,492,273,120.17
  5. Step 5: Solve for x
    x = 9,492,273,120.17/147,951.74
  6. Step 6: Final answer
    x = 64,157.90

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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.