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Finding the Fourth Proportional to 123,121.50, 184,700.07 and 38,853.06

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Solution

The fourth proportional to 123,121.50, 184,700.07 and 38,853.06 is: 58,285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,121.50 : 184,700.07 = 38,853.06 : x
  2. Step 2: Convert to fraction form
    123,121.50/184,700.07 = 38,853.06/x
  3. Step 3: Cross multiply
    123,121.50x = 184,700.07 × 38,853.06
  4. Step 4: Simplify right side
    123,121.50x = 7,176,162,901.71
  5. Step 5: Solve for x
    x = 7,176,162,901.71/123,121.50
  6. Step 6: Final answer
    x = 58,285.21

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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.