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Finding the Fourth Proportional to 149,433.60, 224,587.80 and 146,809.20

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Solution

The fourth proportional to 149,433.60, 224,587.80 and 146,809.20 is: 220,643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,433.60 : 224,587.80 = 146,809.20 : x
  2. Step 2: Convert to fraction form
    149,433.60/224,587.80 = 146,809.20/x
  3. Step 3: Cross multiply
    149,433.60x = 224,587.80 × 146,809.20
  4. Step 4: Simplify right side
    149,433.60x = 32,971,555,247.76
  5. Step 5: Solve for x
    x = 32,971,555,247.76/149,433.60
  6. Step 6: Final answer
    x = 220,643.52

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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.