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Finding the Fourth Proportional to 225,762.60, 338,523.56 and 75,953.10

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Solution

The fourth proportional to 225,762.60, 338,523.56 and 75,953.10 is: 113,889.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,762.60 : 338,523.56 = 75,953.10 : x
  2. Step 2: Convert to fraction form
    225,762.60/338,523.56 = 75,953.10/x
  3. Step 3: Cross multiply
    225,762.60x = 338,523.56 × 75,953.10
  4. Step 4: Simplify right side
    225,762.60x = 25,711,913,805.04
  5. Step 5: Solve for x
    x = 25,711,913,805.04/225,762.60
  6. Step 6: Final answer
    x = 113,889.16

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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.