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Finding the Fourth Proportional to 252,841.32, 348,931.62 and 145,411.44

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Solution

The fourth proportional to 252,841.32, 348,931.62 and 145,411.44 is: 200,673.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,841.32 : 348,931.62 = 145,411.44 : x
  2. Step 2: Convert to fraction form
    252,841.32/348,931.62 = 145,411.44/x
  3. Step 3: Cross multiply
    252,841.32x = 348,931.62 × 145,411.44
  4. Step 4: Simplify right side
    252,841.32x = 50,738,649,325.73
  5. Step 5: Solve for x
    x = 50,738,649,325.73/252,841.32
  6. Step 6: Final answer
    x = 200,673.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.