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Finding the Fourth Proportional to 232,697.47, 348,960 and 82,897.96

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Solution

The fourth proportional to 232,697.47, 348,960 and 82,897.96 is: 124,316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,697.47 : 348,960 = 82,897.96 : x
  2. Step 2: Convert to fraction form
    232,697.47/348,960 = 82,897.96/x
  3. Step 3: Cross multiply
    232,697.47x = 348,960 × 82,897.96
  4. Step 4: Simplify right side
    232,697.47x = 28,928,072,121.60
  5. Step 5: Solve for x
    x = 28,928,072,121.60/232,697.47
  6. Step 6: Final answer
    x = 124,316.23

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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.