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Finding the Fourth Proportional to 192,123.18, 288,184.56 and 51,881.64

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Solution

The fourth proportional to 192,123.18, 288,184.56 and 51,881.64 is: 77,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,123.18 : 288,184.56 = 51,881.64 : x
  2. Step 2: Convert to fraction form
    192,123.18/288,184.56 = 51,881.64/x
  3. Step 3: Cross multiply
    192,123.18x = 288,184.56 × 51,881.64
  4. Step 4: Simplify right side
    192,123.18x = 14,951,487,595.48
  5. Step 5: Solve for x
    x = 14,951,487,595.48/192,123.18
  6. Step 6: Final answer
    x = 77,822.40

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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.