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Finding the Fourth Proportional to 227,551.10, 341,326.65 and 138,977.60

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Solution

The fourth proportional to 227,551.10, 341,326.65 and 138,977.60 is: 208,466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,551.10 : 341,326.65 = 138,977.60 : x
  2. Step 2: Convert to fraction form
    227,551.10/341,326.65 = 138,977.60/x
  3. Step 3: Cross multiply
    227,551.10x = 341,326.65 × 138,977.60
  4. Step 4: Simplify right side
    227,551.10x = 47,436,758,633.04
  5. Step 5: Solve for x
    x = 47,436,758,633.04/227,551.10
  6. Step 6: Final answer
    x = 208,466.40

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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.