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Finding the Fourth Proportional to 254,341.78, 381,592.88 and 159,637.84

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Solution

The fourth proportional to 254,341.78, 381,592.88 and 159,637.84 is: 239,507.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,341.78 : 381,592.88 = 159,637.84 : x
  2. Step 2: Convert to fraction form
    254,341.78/381,592.88 = 159,637.84/x
  3. Step 3: Cross multiply
    254,341.78x = 381,592.88 × 159,637.84
  4. Step 4: Simplify right side
    254,341.78x = 60,916,663,122.58
  5. Step 5: Solve for x
    x = 60,916,663,122.58/254,341.78
  6. Step 6: Final answer
    x = 239,507.10

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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.