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Finding the Fourth Proportional to 149,753.76, 224,684.12 and 64,328.73

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Solution

The fourth proportional to 149,753.76, 224,684.12 and 64,328.73 is: 96,516.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,753.76 : 224,684.12 = 64,328.73 : x
  2. Step 2: Convert to fraction form
    149,753.76/224,684.12 = 64,328.73/x
  3. Step 3: Cross multiply
    149,753.76x = 224,684.12 × 64,328.73
  4. Step 4: Simplify right side
    149,753.76x = 14,453,642,645.70
  5. Step 5: Solve for x
    x = 14,453,642,645.70/149,753.76
  6. Step 6: Final answer
    x = 96,516.06

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1.5x scale

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.