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Finding the Fourth Proportional to 151,514.51, 209,086.16 and 83,529.90

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Solution

The fourth proportional to 151,514.51, 209,086.16 and 83,529.90 is: 115,269.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,514.51 : 209,086.16 = 83,529.90 : x
  2. Step 2: Convert to fraction form
    151,514.51/209,086.16 = 83,529.90/x
  3. Step 3: Cross multiply
    151,514.51x = 209,086.16 × 83,529.90
  4. Step 4: Simplify right side
    151,514.51x = 17,464,945,618.53
  5. Step 5: Solve for x
    x = 17,464,945,618.53/151,514.51
  6. Step 6: Final answer
    x = 115,269.13

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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.