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Finding the Fourth Proportional to 162,498.95, 243,753.81 and 55,881.85

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Solution

The fourth proportional to 162,498.95, 243,753.81 and 55,881.85 is: 83,824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,498.95 : 243,753.81 = 55,881.85 : x
  2. Step 2: Convert to fraction form
    162,498.95/243,753.81 = 55,881.85/x
  3. Step 3: Cross multiply
    162,498.95x = 243,753.81 × 55,881.85
  4. Step 4: Simplify right side
    162,498.95x = 13,621,413,237.96
  5. Step 5: Solve for x
    x = 13,621,413,237.96/162,498.95
  6. Step 6: Final answer
    x = 83,824.63

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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.