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Finding the Fourth Proportional to 171,159.12, 256,583.16 and 77,613.84

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Solution

The fourth proportional to 171,159.12, 256,583.16 and 77,613.84 is: 116,350.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,159.12 : 256,583.16 = 77,613.84 : x
  2. Step 2: Convert to fraction form
    171,159.12/256,583.16 = 77,613.84/x
  3. Step 3: Cross multiply
    171,159.12x = 256,583.16 × 77,613.84
  4. Step 4: Simplify right side
    171,159.12x = 19,914,404,326.93
  5. Step 5: Solve for x
    x = 19,914,404,326.93/171,159.12
  6. Step 6: Final answer
    x = 116,350.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.