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Finding the Fourth Proportional to 159,534.50, 220,159.06 and 87,917.09

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Solution

The fourth proportional to 159,534.50, 220,159.06 and 87,917.09 is: 121,326.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,534.50 : 220,159.06 = 87,917.09 : x
  2. Step 2: Convert to fraction form
    159,534.50/220,159.06 = 87,917.09/x
  3. Step 3: Cross multiply
    159,534.50x = 220,159.06 × 87,917.09
  4. Step 4: Simplify right side
    159,534.50x = 19,355,742,571.75
  5. Step 5: Solve for x
    x = 19,355,742,571.75/159,534.50
  6. Step 6: Final answer
    x = 121,326.38

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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.