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Finding the Fourth Proportional to 259,098.48, 357,645.38 and 151,703

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Solution

The fourth proportional to 259,098.48, 357,645.38 and 151,703 is: 209,402.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,098.48 : 357,645.38 = 151,703 : x
  2. Step 2: Convert to fraction form
    259,098.48/357,645.38 = 151,703/x
  3. Step 3: Cross multiply
    259,098.48x = 357,645.38 × 151,703
  4. Step 4: Simplify right side
    259,098.48x = 54,255,877,082.14
  5. Step 5: Solve for x
    x = 54,255,877,082.14/259,098.48
  6. Step 6: Final answer
    x = 209,402.53

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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.