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Finding the Fourth Proportional to 227,904.60, 314,508.06 and 127,302.60

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Solution

The fourth proportional to 227,904.60, 314,508.06 and 127,302.60 is: 175,677.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,904.60 : 314,508.06 = 127,302.60 : x
  2. Step 2: Convert to fraction form
    227,904.60/314,508.06 = 127,302.60/x
  3. Step 3: Cross multiply
    227,904.60x = 314,508.06 × 127,302.60
  4. Step 4: Simplify right side
    227,904.60x = 40,037,693,758.96
  5. Step 5: Solve for x
    x = 40,037,693,758.96/227,904.60
  6. Step 6: Final answer
    x = 175,677.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.