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Finding the Fourth Proportional to 136,767.60, 205,173 and 57,882.24

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Solution

The fourth proportional to 136,767.60, 205,173 and 57,882.24 is: 86,832.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,767.60 : 205,173 = 57,882.24 : x
  2. Step 2: Convert to fraction form
    136,767.60/205,173 = 57,882.24/x
  3. Step 3: Cross multiply
    136,767.60x = 205,173 × 57,882.24
  4. Step 4: Simplify right side
    136,767.60x = 11,875,872,827.52
  5. Step 5: Solve for x
    x = 11,875,872,827.52/136,767.60
  6. Step 6: Final answer
    x = 86,832.50

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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.