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Finding the Fourth Proportional to 167,838.57, 251,757.84 and 57,030.57

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Solution

The fourth proportional to 167,838.57, 251,757.84 and 57,030.57 is: 85,545.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,838.57 : 251,757.84 = 57,030.57 : x
  2. Step 2: Convert to fraction form
    167,838.57/251,757.84 = 57,030.57/x
  3. Step 3: Cross multiply
    167,838.57x = 251,757.84 × 57,030.57
  4. Step 4: Simplify right side
    167,838.57x = 14,357,893,117.17
  5. Step 5: Solve for x
    x = 14,357,893,117.17/167,838.57
  6. Step 6: Final answer
    x = 85,545.85

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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.