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Finding the Fourth Proportional to 218,524.56, 301,569.57 and 123,034.74

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Solution

The fourth proportional to 218,524.56, 301,569.57 and 123,034.74 is: 169,791.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,524.56 : 301,569.57 = 123,034.74 : x
  2. Step 2: Convert to fraction form
    218,524.56/301,569.57 = 123,034.74/x
  3. Step 3: Cross multiply
    218,524.56x = 301,569.57 × 123,034.74
  4. Step 4: Simplify right side
    218,524.56x = 37,103,533,636.86
  5. Step 5: Solve for x
    x = 37,103,533,636.86/218,524.56
  6. Step 6: Final answer
    x = 169,791.14

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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.