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Finding the Fourth Proportional to 162,223.65, 243,194.49 and 77,941.53

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Solution

The fourth proportional to 162,223.65, 243,194.49 and 77,941.53 is: 116,844.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,223.65 : 243,194.49 = 77,941.53 : x
  2. Step 2: Convert to fraction form
    162,223.65/243,194.49 = 77,941.53/x
  3. Step 3: Cross multiply
    162,223.65x = 243,194.49 × 77,941.53
  4. Step 4: Simplify right side
    162,223.65x = 18,954,950,638.17
  5. Step 5: Solve for x
    x = 18,954,950,638.17/162,223.65
  6. Step 6: Final answer
    x = 116,844.56

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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.