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Finding the Fourth Proportional to 159,089.09, 238,114.40 and 116,958.02

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Solution

The fourth proportional to 159,089.09, 238,114.40 and 116,958.02 is: 175,055.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,089.09 : 238,114.40 = 116,958.02 : x
  2. Step 2: Convert to fraction form
    159,089.09/238,114.40 = 116,958.02/x
  3. Step 3: Cross multiply
    159,089.09x = 238,114.40 × 116,958.02
  4. Step 4: Simplify right side
    159,089.09x = 27,849,386,982.13
  5. Step 5: Solve for x
    x = 27,849,386,982.13/159,089.09
  6. Step 6: Final answer
    x = 175,055.30

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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.