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Finding the Fourth Proportional to 182,658.69, 252,098.37 and 114,685.38

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Solution

The fourth proportional to 182,658.69, 252,098.37 and 114,685.38 is: 158,284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,658.69 : 252,098.37 = 114,685.38 : x
  2. Step 2: Convert to fraction form
    182,658.69/252,098.37 = 114,685.38/x
  3. Step 3: Cross multiply
    182,658.69x = 252,098.37 × 114,685.38
  4. Step 4: Simplify right side
    182,658.69x = 28,911,997,360.83
  5. Step 5: Solve for x
    x = 28,911,997,360.83/182,658.69
  6. Step 6: Final answer
    x = 158,284.27

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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.