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Finding the Fourth Proportional to 254,159.95, 381,006.24 and 109,975.74

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Solution

The fourth proportional to 254,159.95, 381,006.24 and 109,975.74 is: 164,862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,159.95 : 381,006.24 = 109,975.74 : x
  2. Step 2: Convert to fraction form
    254,159.95/381,006.24 = 109,975.74/x
  3. Step 3: Cross multiply
    254,159.95x = 381,006.24 × 109,975.74
  4. Step 4: Simplify right side
    254,159.95x = 41,901,443,188.62
  5. Step 5: Solve for x
    x = 41,901,443,188.62/254,159.95
  6. Step 6: Final answer
    x = 164,862.49

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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.