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Finding the Fourth Proportional to 159,214.51, 219,713.92 and 87,593.00

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Solution

The fourth proportional to 159,214.51, 219,713.92 and 87,593.00 is: 120,877.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,214.51 : 219,713.92 = 87,593.00 : x
  2. Step 2: Convert to fraction form
    159,214.51/219,713.92 = 87,593.00/x
  3. Step 3: Cross multiply
    159,214.51x = 219,713.92 × 87,593.00
  4. Step 4: Simplify right side
    159,214.51x = 19,245,400,077.01
  5. Step 5: Solve for x
    x = 19,245,400,077.01/159,214.51
  6. Step 6: Final answer
    x = 120,877.17

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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.