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Finding the Fourth Proportional to 175,612.69, 263,419.71 and 42,492.75

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Solution

The fourth proportional to 175,612.69, 263,419.71 and 42,492.75 is: 63,739.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,612.69 : 263,419.71 = 42,492.75 : x
  2. Step 2: Convert to fraction form
    175,612.69/263,419.71 = 42,492.75/x
  3. Step 3: Cross multiply
    175,612.69x = 263,419.71 × 42,492.75
  4. Step 4: Simplify right side
    175,612.69x = 11,193,427,882.10
  5. Step 5: Solve for x
    x = 11,193,427,882.10/175,612.69
  6. Step 6: Final answer
    x = 63,739.29

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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.