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Finding the Fourth Proportional to 151,010.41, 208,389.95 and 83,027.31

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Solution

The fourth proportional to 151,010.41, 208,389.95 and 83,027.31 is: 114,575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,010.41 : 208,389.95 = 83,027.31 : x
  2. Step 2: Convert to fraction form
    151,010.41/208,389.95 = 83,027.31/x
  3. Step 3: Cross multiply
    151,010.41x = 208,389.95 × 83,027.31
  4. Step 4: Simplify right side
    151,010.41x = 17,302,056,979.53
  5. Step 5: Solve for x
    x = 17,302,056,979.53/151,010.41
  6. Step 6: Final answer
    x = 114,575.26

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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.