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Finding the Fourth Proportional to 227,838.60, 341,757.90 and 132,971.40

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Solution

The fourth proportional to 227,838.60, 341,757.90 and 132,971.40 is: 199,457.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,838.60 : 341,757.90 = 132,971.40 : x
  2. Step 2: Convert to fraction form
    227,838.60/341,757.90 = 132,971.40/x
  3. Step 3: Cross multiply
    227,838.60x = 341,757.90 × 132,971.40
  4. Step 4: Simplify right side
    227,838.60x = 45,444,026,424.06
  5. Step 5: Solve for x
    x = 45,444,026,424.06/227,838.60
  6. Step 6: Final answer
    x = 199,457.10

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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.