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Finding the Fourth Proportional to 151,090, 208,508.78 and 83,103.48

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Solution

The fourth proportional to 151,090, 208,508.78 and 83,103.48 is: 114,685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,090 : 208,508.78 = 83,103.48 : x
  2. Step 2: Convert to fraction form
    151,090/208,508.78 = 83,103.48/x
  3. Step 3: Cross multiply
    151,090x = 208,508.78 × 83,103.48
  4. Step 4: Simplify right side
    151,090x = 17,327,805,228.55
  5. Step 5: Solve for x
    x = 17,327,805,228.55/151,090
  6. Step 6: Final answer
    x = 114,685.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.