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Finding the Fourth Proportional to 177,293.76, 265,862.82 and 66,408

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Solution

The fourth proportional to 177,293.76, 265,862.82 and 66,408 is: 99,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,293.76 : 265,862.82 = 66,408 : x
  2. Step 2: Convert to fraction form
    177,293.76/265,862.82 = 66,408/x
  3. Step 3: Cross multiply
    177,293.76x = 265,862.82 × 66,408
  4. Step 4: Simplify right side
    177,293.76x = 17,655,418,150.56
  5. Step 5: Solve for x
    x = 17,655,418,150.56/177,293.76
  6. Step 6: Final answer
    x = 99,582.85

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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.