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Finding the Fourth Proportional to 231,820.70, 348,059.10 and 181,957.10

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Solution

The fourth proportional to 231,820.70, 348,059.10 and 181,957.10 is: 273,193.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,820.70 : 348,059.10 = 181,957.10 : x
  2. Step 2: Convert to fraction form
    231,820.70/348,059.10 = 181,957.10/x
  3. Step 3: Cross multiply
    231,820.70x = 348,059.10 × 181,957.10
  4. Step 4: Simplify right side
    231,820.70x = 63,331,824,464.61
  5. Step 5: Solve for x
    x = 63,331,824,464.61/231,820.70
  6. Step 6: Final answer
    x = 273,193.14

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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.