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Finding the Fourth Proportional to 354,181.80, 531,272.70 and 117,532.20

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Solution

The fourth proportional to 354,181.80, 531,272.70 and 117,532.20 is: 176,298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,181.80 : 531,272.70 = 117,532.20 : x
  2. Step 2: Convert to fraction form
    354,181.80/531,272.70 = 117,532.20/x
  3. Step 3: Cross multiply
    354,181.80x = 531,272.70 × 117,532.20
  4. Step 4: Simplify right side
    354,181.80x = 62,441,649,230.94
  5. Step 5: Solve for x
    x = 62,441,649,230.94/354,181.80
  6. Step 6: Final answer
    x = 176,298.30

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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.