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Finding the Fourth Proportional to 159,963.88, 239,663.94 and 142,588.84

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Solution

The fourth proportional to 159,963.88, 239,663.94 and 142,588.84 is: 213,632.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,963.88 : 239,663.94 = 142,588.84 : x
  2. Step 2: Convert to fraction form
    159,963.88/239,663.94 = 142,588.84/x
  3. Step 3: Cross multiply
    159,963.88x = 239,663.94 × 142,588.84
  4. Step 4: Simplify right side
    159,963.88x = 34,173,403,194.43
  5. Step 5: Solve for x
    x = 34,173,403,194.43/159,963.88
  6. Step 6: Final answer
    x = 213,632.00

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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.