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Finding the Fourth Proportional to 151,055.28, 208,452.10 and 83,072.24

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Solution

The fourth proportional to 151,055.28, 208,452.10 and 83,072.24 is: 114,637.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,055.28 : 208,452.10 = 83,072.24 : x
  2. Step 2: Convert to fraction form
    151,055.28/208,452.10 = 83,072.24/x
  3. Step 3: Cross multiply
    151,055.28x = 208,452.10 × 83,072.24
  4. Step 4: Simplify right side
    151,055.28x = 17,316,582,879.70
  5. Step 5: Solve for x
    x = 17,316,582,879.70/151,055.28
  6. Step 6: Final answer
    x = 114,637.39

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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.