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Finding the Fourth Proportional to 175,774.74, 263,660.13 and 42,656.46

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Solution

The fourth proportional to 175,774.74, 263,660.13 and 42,656.46 is: 63,984.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,774.74 : 263,660.13 = 42,656.46 : x
  2. Step 2: Convert to fraction form
    175,774.74/263,660.13 = 42,656.46/x
  3. Step 3: Cross multiply
    175,774.74x = 263,660.13 × 42,656.46
  4. Step 4: Simplify right side
    175,774.74x = 11,246,807,788.94
  5. Step 5: Solve for x
    x = 11,246,807,788.94/175,774.74
  6. Step 6: Final answer
    x = 63,984.21

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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.