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Finding the Fourth Proportional to 218,613.11, 301,825.38 and 178,422.74

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Solution

The fourth proportional to 218,613.11, 301,825.38 and 178,422.74 is: 246,337.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,613.11 : 301,825.38 = 178,422.74 : x
  2. Step 2: Convert to fraction form
    218,613.11/301,825.38 = 178,422.74/x
  3. Step 3: Cross multiply
    218,613.11x = 301,825.38 × 178,422.74
  4. Step 4: Simplify right side
    218,613.11x = 53,852,509,792.01
  5. Step 5: Solve for x
    x = 53,852,509,792.01/218,613.11
  6. Step 6: Final answer
    x = 246,337.06

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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.