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Finding the Fourth Proportional to 225,823.72, 338,440.28 and 92,547.94

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Solution

The fourth proportional to 225,823.72, 338,440.28 and 92,547.94 is: 138,700.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,823.72 : 338,440.28 = 92,547.94 : x
  2. Step 2: Convert to fraction form
    225,823.72/338,440.28 = 92,547.94/x
  3. Step 3: Cross multiply
    225,823.72x = 338,440.28 × 92,547.94
  4. Step 4: Simplify right side
    225,823.72x = 31,321,949,266.19
  5. Step 5: Solve for x
    x = 31,321,949,266.19/225,823.72
  6. Step 6: Final answer
    x = 138,700.89

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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.