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Finding the Fourth Proportional to 114,290.61, 171,463.28 and 47,693.69

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Solution

The fourth proportional to 114,290.61, 171,463.28 and 47,693.69 is: 71,551.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,290.61 : 171,463.28 = 47,693.69 : x
  2. Step 2: Convert to fraction form
    114,290.61/171,463.28 = 47,693.69/x
  3. Step 3: Cross multiply
    114,290.61x = 171,463.28 × 47,693.69
  4. Step 4: Simplify right side
    114,290.61x = 8,177,715,426.92
  5. Step 5: Solve for x
    x = 8,177,715,426.92/114,290.61
  6. Step 6: Final answer
    x = 71,551.94

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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.