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Finding the Fourth Proportional to 334,115.72, 461,079.42 and 181,158.98

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Solution

The fourth proportional to 334,115.72, 461,079.42 and 181,158.98 is: 249,999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,115.72 : 461,079.42 = 181,158.98 : x
  2. Step 2: Convert to fraction form
    334,115.72/461,079.42 = 181,158.98/x
  3. Step 3: Cross multiply
    334,115.72x = 461,079.42 × 181,158.98
  4. Step 4: Simplify right side
    334,115.72x = 83,528,675,120.79
  5. Step 5: Solve for x
    x = 83,528,675,120.79/334,115.72
  6. Step 6: Final answer
    x = 249,999.24

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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.