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Finding the Fourth Proportional to 159,536.40, 220,159.78 and 87,916.40

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Solution

The fourth proportional to 159,536.40, 220,159.78 and 87,916.40 is: 121,324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,536.40 : 220,159.78 = 87,916.40 : x
  2. Step 2: Convert to fraction form
    159,536.40/220,159.78 = 87,916.40/x
  3. Step 3: Cross multiply
    159,536.40x = 220,159.78 × 87,916.40
  4. Step 4: Simplify right side
    159,536.40x = 19,355,655,282.39
  5. Step 5: Solve for x
    x = 19,355,655,282.39/159,536.40
  6. Step 6: Final answer
    x = 121,324.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.