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Finding the Fourth Proportional to 136,580.58, 204,892.74 and 57,695.49

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Solution

The fourth proportional to 136,580.58, 204,892.74 and 57,695.49 is: 86,552.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,580.58 : 204,892.74 = 57,695.49 : x
  2. Step 2: Convert to fraction form
    136,580.58/204,892.74 = 57,695.49/x
  3. Step 3: Cross multiply
    136,580.58x = 204,892.74 × 57,695.49
  4. Step 4: Simplify right side
    136,580.58x = 11,821,387,031.74
  5. Step 5: Solve for x
    x = 11,821,387,031.74/136,580.58
  6. Step 6: Final answer
    x = 86,552.47

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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.