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Finding the Fourth Proportional to 123,829.80, 185,705.80 and 52,751.69

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Solution

The fourth proportional to 123,829.80, 185,705.80 and 52,751.69 is: 79,110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,829.80 : 185,705.80 = 52,751.69 : x
  2. Step 2: Convert to fraction form
    123,829.80/185,705.80 = 52,751.69/x
  3. Step 3: Cross multiply
    123,829.80x = 185,705.80 × 52,751.69
  4. Step 4: Simplify right side
    123,829.80x = 9,796,294,428.79
  5. Step 5: Solve for x
    x = 9,796,294,428.79/123,829.80
  6. Step 6: Final answer
    x = 79,110.96

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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.