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Finding the Fourth Proportional to 122,870.62, 184,377.59 and 51,788.92

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Solution

The fourth proportional to 122,870.62, 184,377.59 and 51,788.92 is: 77,713.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,870.62 : 184,377.59 = 51,788.92 : x
  2. Step 2: Convert to fraction form
    122,870.62/184,377.59 = 51,788.92/x
  3. Step 3: Cross multiply
    122,870.62x = 184,377.59 × 51,788.92
  4. Step 4: Simplify right side
    122,870.62x = 9,548,716,223.99
  5. Step 5: Solve for x
    x = 9,548,716,223.99/122,870.62
  6. Step 6: Final answer
    x = 77,713.58

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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.