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Finding the Fourth Proportional to 225,752.64, 338,815.80 and 113,465.04

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Solution

The fourth proportional to 225,752.64, 338,815.80 and 113,465.04 is: 170,291.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,752.64 : 338,815.80 = 113,465.04 : x
  2. Step 2: Convert to fraction form
    225,752.64/338,815.80 = 113,465.04/x
  3. Step 3: Cross multiply
    225,752.64x = 338,815.80 × 113,465.04
  4. Step 4: Simplify right side
    225,752.64x = 38,443,748,299.63
  5. Step 5: Solve for x
    x = 38,443,748,299.63/225,752.64
  6. Step 6: Final answer
    x = 170,291.47

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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.