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Finding the Fourth Proportional to 162,067.84, 243,005.76 and 55,414.06

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Solution

The fourth proportional to 162,067.84, 243,005.76 and 55,414.06 is: 83,088.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,067.84 : 243,005.76 = 55,414.06 : x
  2. Step 2: Convert to fraction form
    162,067.84/243,005.76 = 55,414.06/x
  3. Step 3: Cross multiply
    162,067.84x = 243,005.76 × 55,414.06
  4. Step 4: Simplify right side
    162,067.84x = 13,465,935,764.99
  5. Step 5: Solve for x
    x = 13,465,935,764.99/162,067.84
  6. Step 6: Final answer
    x = 83,088.27

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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.