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Finding the Fourth Proportional to 157,349.50, 217,222.72 and 106,630.20

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Solution

The fourth proportional to 157,349.50, 217,222.72 and 106,630.20 is: 147,204.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,349.50 : 217,222.72 = 106,630.20 : x
  2. Step 2: Convert to fraction form
    157,349.50/217,222.72 = 106,630.20/x
  3. Step 3: Cross multiply
    157,349.50x = 217,222.72 × 106,630.20
  4. Step 4: Simplify right side
    157,349.50x = 23,162,500,458.88
  5. Step 5: Solve for x
    x = 23,162,500,458.88/157,349.50
  6. Step 6: Final answer
    x = 147,204.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.