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Finding the Fourth Proportional to 162,810.40, 244,215.60 and 106,823.20

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Solution

The fourth proportional to 162,810.40, 244,215.60 and 106,823.20 is: 160,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,810.40 : 244,215.60 = 106,823.20 : x
  2. Step 2: Convert to fraction form
    162,810.40/244,215.60 = 106,823.20/x
  3. Step 3: Cross multiply
    162,810.40x = 244,215.60 × 106,823.20
  4. Step 4: Simplify right side
    162,810.40x = 26,087,891,881.92
  5. Step 5: Solve for x
    x = 26,087,891,881.92/162,810.40
  6. Step 6: Final answer
    x = 160,234.80

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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.