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Finding the Fourth Proportional to 114,117.50, 171,134.26 and 39,216.38

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Solution

The fourth proportional to 114,117.50, 171,134.26 and 39,216.38 is: 58,810.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,117.50 : 171,134.26 = 39,216.38 : x
  2. Step 2: Convert to fraction form
    114,117.50/171,134.26 = 39,216.38/x
  3. Step 3: Cross multiply
    114,117.50x = 171,134.26 × 39,216.38
  4. Step 4: Simplify right side
    114,117.50x = 6,711,266,171.18
  5. Step 5: Solve for x
    x = 6,711,266,171.18/114,117.50
  6. Step 6: Final answer
    x = 58,810.14

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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.