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Finding the Fourth Proportional to 233,722.40, 350,180.40 and 108,807.20

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Solution

The fourth proportional to 233,722.40, 350,180.40 and 108,807.20 is: 163,023.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,722.40 : 350,180.40 = 108,807.20 : x
  2. Step 2: Convert to fraction form
    233,722.40/350,180.40 = 108,807.20/x
  3. Step 3: Cross multiply
    233,722.40x = 350,180.40 × 108,807.20
  4. Step 4: Simplify right side
    233,722.40x = 38,102,148,818.88
  5. Step 5: Solve for x
    x = 38,102,148,818.88/233,722.40
  6. Step 6: Final answer
    x = 163,023.09

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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.