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Finding the Fourth Proportional to 227,411.60, 340,461.30 and 138,838.10

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Solution

The fourth proportional to 227,411.60, 340,461.30 and 138,838.10 is: 207,856.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,411.60 : 340,461.30 = 138,838.10 : x
  2. Step 2: Convert to fraction form
    227,411.60/340,461.30 = 138,838.10/x
  3. Step 3: Cross multiply
    227,411.60x = 340,461.30 × 138,838.10
  4. Step 4: Simplify right side
    227,411.60x = 47,269,000,015.53
  5. Step 5: Solve for x
    x = 47,269,000,015.53/227,411.60
  6. Step 6: Final answer
    x = 207,856.59

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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.