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Finding the Fourth Proportional to 205,348.52, 307,942.94 and 63,151.40

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Solution

The fourth proportional to 205,348.52, 307,942.94 and 63,151.40 is: 94,702.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,348.52 : 307,942.94 = 63,151.40 : x
  2. Step 2: Convert to fraction form
    205,348.52/307,942.94 = 63,151.40/x
  3. Step 3: Cross multiply
    205,348.52x = 307,942.94 × 63,151.40
  4. Step 4: Simplify right side
    205,348.52x = 19,447,027,781.12
  5. Step 5: Solve for x
    x = 19,447,027,781.12/205,348.52
  6. Step 6: Final answer
    x = 94,702.55

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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.