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Finding the Fourth Proportional to 229,251.40, 343,877.10 and 159,267.40

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Solution

The fourth proportional to 229,251.40, 343,877.10 and 159,267.40 is: 238,901.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,251.40 : 343,877.10 = 159,267.40 : x
  2. Step 2: Convert to fraction form
    229,251.40/343,877.10 = 159,267.40/x
  3. Step 3: Cross multiply
    229,251.40x = 343,877.10 × 159,267.40
  4. Step 4: Simplify right side
    229,251.40x = 54,768,411,636.54
  5. Step 5: Solve for x
    x = 54,768,411,636.54/229,251.40
  6. Step 6: Final answer
    x = 238,901.10

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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.