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Finding the Fourth Proportional to 242,031.92, 363,000.02 and 230,029.83

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Solution

The fourth proportional to 242,031.92, 363,000.02 and 230,029.83 is: 344,999.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,031.92 : 363,000.02 = 230,029.83 : x
  2. Step 2: Convert to fraction form
    242,031.92/363,000.02 = 230,029.83/x
  3. Step 3: Cross multiply
    242,031.92x = 363,000.02 × 230,029.83
  4. Step 4: Simplify right side
    242,031.92x = 83,500,831,740.45
  5. Step 5: Solve for x
    x = 83,500,831,740.45/242,031.92
  6. Step 6: Final answer
    x = 344,999.26

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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.