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Finding the Fourth Proportional to 227,555.60, 341,333.40 and 138,982.10

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Solution

The fourth proportional to 227,555.60, 341,333.40 and 138,982.10 is: 208,473.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,555.60 : 341,333.40 = 138,982.10 : x
  2. Step 2: Convert to fraction form
    227,555.60/341,333.40 = 138,982.10/x
  3. Step 3: Cross multiply
    227,555.60x = 341,333.40 × 138,982.10
  4. Step 4: Simplify right side
    227,555.60x = 47,439,232,732.14
  5. Step 5: Solve for x
    x = 47,439,232,732.14/227,555.60
  6. Step 6: Final answer
    x = 208,473.15

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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.