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Finding the Fourth Proportional to 151,119.06, 208,541.40 and 83,132.06

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Solution

The fourth proportional to 151,119.06, 208,541.40 and 83,132.06 is: 114,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,119.06 : 208,541.40 = 83,132.06 : x
  2. Step 2: Convert to fraction form
    151,119.06/208,541.40 = 83,132.06/x
  3. Step 3: Cross multiply
    151,119.06x = 208,541.40 × 83,132.06
  4. Step 4: Simplify right side
    151,119.06x = 17,336,476,177.28
  5. Step 5: Solve for x
    x = 17,336,476,177.28/151,119.06
  6. Step 6: Final answer
    x = 114,720.65

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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.