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Finding the Fourth Proportional to 151,002.09, 208,383.30 and 83,026.01

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Solution

The fourth proportional to 151,002.09, 208,383.30 and 83,026.01 is: 114,576.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,002.09 : 208,383.30 = 83,026.01 : x
  2. Step 2: Convert to fraction form
    151,002.09/208,383.30 = 83,026.01/x
  3. Step 3: Cross multiply
    151,002.09x = 208,383.30 × 83,026.01
  4. Step 4: Simplify right side
    151,002.09x = 17,301,234,470.59
  5. Step 5: Solve for x
    x = 17,301,234,470.59/151,002.09
  6. Step 6: Final answer
    x = 114,576.13

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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.