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Finding the Fourth Proportional to 255,006.38, 351,897.71 and 140,277.75

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Solution

The fourth proportional to 255,006.38, 351,897.71 and 140,277.75 is: 193,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,006.38 : 351,897.71 = 140,277.75 : x
  2. Step 2: Convert to fraction form
    255,006.38/351,897.71 = 140,277.75/x
  3. Step 3: Cross multiply
    255,006.38x = 351,897.71 × 140,277.75
  4. Step 4: Simplify right side
    255,006.38x = 49,363,420,659.26
  5. Step 5: Solve for x
    x = 49,363,420,659.26/255,006.38
  6. Step 6: Final answer
    x = 193,577.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.