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Finding the Fourth Proportional to 123,781.60, 185,696.25 and 52,702.93

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Solution

The fourth proportional to 123,781.60, 185,696.25 and 52,702.93 is: 79,064.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,781.60 : 185,696.25 = 52,702.93 : x
  2. Step 2: Convert to fraction form
    123,781.60/185,696.25 = 52,702.93/x
  3. Step 3: Cross multiply
    123,781.60x = 185,696.25 × 52,702.93
  4. Step 4: Simplify right side
    123,781.60x = 9,786,736,465.01
  5. Step 5: Solve for x
    x = 9,786,736,465.01/123,781.60
  6. Step 6: Final answer
    x = 79,064.55

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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.