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Finding the Fourth Proportional to 231,041.50, 318,838.23 and 125,057.50

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Solution

The fourth proportional to 231,041.50, 318,838.23 and 125,057.50 is: 172,579.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,041.50 : 318,838.23 = 125,057.50 : x
  2. Step 2: Convert to fraction form
    231,041.50/318,838.23 = 125,057.50/x
  3. Step 3: Cross multiply
    231,041.50x = 318,838.23 × 125,057.50
  4. Step 4: Simplify right side
    231,041.50x = 39,873,111,948.23
  5. Step 5: Solve for x
    x = 39,873,111,948.23/231,041.50
  6. Step 6: Final answer
    x = 172,579.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.