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Finding the Fourth Proportional to 254,978.20, 351,870.27 and 141,800.95

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Solution

The fourth proportional to 254,978.20, 351,870.27 and 141,800.95 is: 195,685.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,978.20 : 351,870.27 = 141,800.95 : x
  2. Step 2: Convert to fraction form
    254,978.20/351,870.27 = 141,800.95/x
  3. Step 3: Cross multiply
    254,978.20x = 351,870.27 × 141,800.95
  4. Step 4: Simplify right side
    254,978.20x = 49,895,538,562.76
  5. Step 5: Solve for x
    x = 49,895,538,562.76/254,978.20
  6. Step 6: Final answer
    x = 195,685.51

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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.