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Finding the Fourth Proportional to 218,472.16, 301,488.24 and 122,978.56

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Solution

The fourth proportional to 218,472.16, 301,488.24 and 122,978.56 is: 169,708.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,472.16 : 301,488.24 = 122,978.56 : x
  2. Step 2: Convert to fraction form
    218,472.16/301,488.24 = 122,978.56/x
  3. Step 3: Cross multiply
    218,472.16x = 301,488.24 × 122,978.56
  4. Step 4: Simplify right side
    218,472.16x = 37,076,589,612.13
  5. Step 5: Solve for x
    x = 37,076,589,612.13/218,472.16
  6. Step 6: Final answer
    x = 169,708.53

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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.