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Finding the Fourth Proportional to 123,244.74, 184,788.74 and 52,130.18

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Solution

The fourth proportional to 123,244.74, 184,788.74 and 52,130.18 is: 78,162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,244.74 : 184,788.74 = 52,130.18 : x
  2. Step 2: Convert to fraction form
    123,244.74/184,788.74 = 52,130.18/x
  3. Step 3: Cross multiply
    123,244.74x = 184,788.74 × 52,130.18
  4. Step 4: Simplify right side
    123,244.74x = 9,633,070,870.47
  5. Step 5: Solve for x
    x = 9,633,070,870.47/123,244.74
  6. Step 6: Final answer
    x = 78,162.13

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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.