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Finding the Fourth Proportional to 159,090.09, 238,115.89 and 116,959.02

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Solution

The fourth proportional to 159,090.09, 238,115.89 and 116,959.02 is: 175,056.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,090.09 : 238,115.89 = 116,959.02 : x
  2. Step 2: Convert to fraction form
    159,090.09/238,115.89 = 116,959.02/x
  3. Step 3: Cross multiply
    159,090.09x = 238,115.89 × 116,959.02
  4. Step 4: Simplify right side
    159,090.09x = 27,849,801,140.83
  5. Step 5: Solve for x
    x = 27,849,801,140.83/159,090.09
  6. Step 6: Final answer
    x = 175,056.79

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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.