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Finding the Fourth Proportional to 157,467.24, 217,296.90 and 89,475.24

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Solution

The fourth proportional to 157,467.24, 217,296.90 and 89,475.24 is: 123,471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,467.24 : 217,296.90 = 89,475.24 : x
  2. Step 2: Convert to fraction form
    157,467.24/217,296.90 = 89,475.24/x
  3. Step 3: Cross multiply
    157,467.24x = 217,296.90 × 89,475.24
  4. Step 4: Simplify right side
    157,467.24x = 19,442,692,278.76
  5. Step 5: Solve for x
    x = 19,442,692,278.76/157,467.24
  6. Step 6: Final answer
    x = 123,471.35

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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.