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Finding the Fourth Proportional to 136,363.68, 204,573.24 and 57,477.78

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Solution

The fourth proportional to 136,363.68, 204,573.24 and 57,477.78 is: 86,228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,363.68 : 204,573.24 = 57,477.78 : x
  2. Step 2: Convert to fraction form
    136,363.68/204,573.24 = 57,477.78/x
  3. Step 3: Cross multiply
    136,363.68x = 204,573.24 × 57,477.78
  4. Step 4: Simplify right side
    136,363.68x = 11,758,415,682.61
  5. Step 5: Solve for x
    x = 11,758,415,682.61/136,363.68
  6. Step 6: Final answer
    x = 86,228.35

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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.