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Finding the Fourth Proportional to 147,651.52, 221,321.76 and 73,624

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Solution

The fourth proportional to 147,651.52, 221,321.76 and 73,624 is: 110,358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,651.52 : 221,321.76 = 73,624 : x
  2. Step 2: Convert to fraction form
    147,651.52/221,321.76 = 73,624/x
  3. Step 3: Cross multiply
    147,651.52x = 221,321.76 × 73,624
  4. Step 4: Simplify right side
    147,651.52x = 16,294,593,258.24
  5. Step 5: Solve for x
    x = 16,294,593,258.24/147,651.52
  6. Step 6: Final answer
    x = 110,358.45

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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.