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Finding the Fourth Proportional to 227,547.60, 341,321.40 and 138,974.10

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Solution

The fourth proportional to 227,547.60, 341,321.40 and 138,974.10 is: 208,461.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,547.60 : 341,321.40 = 138,974.10 : x
  2. Step 2: Convert to fraction form
    227,547.60/341,321.40 = 138,974.10/x
  3. Step 3: Cross multiply
    227,547.60x = 341,321.40 × 138,974.10
  4. Step 4: Simplify right side
    227,547.60x = 47,434,834,375.74
  5. Step 5: Solve for x
    x = 47,434,834,375.74/227,547.60
  6. Step 6: Final answer
    x = 208,461.15

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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.