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Finding the Fourth Proportional to 114,165.64, 171,206.34 and 39,264.94

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Solution

The fourth proportional to 114,165.64, 171,206.34 and 39,264.94 is: 58,882.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,165.64 : 171,206.34 = 39,264.94 : x
  2. Step 2: Convert to fraction form
    114,165.64/171,206.34 = 39,264.94/x
  3. Step 3: Cross multiply
    114,165.64x = 171,206.34 × 39,264.94
  4. Step 4: Simplify right side
    114,165.64x = 6,722,406,667.72
  5. Step 5: Solve for x
    x = 6,722,406,667.72/114,165.64
  6. Step 6: Final answer
    x = 58,882.92

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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.