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Finding the Fourth Proportional to 497,108.25, 745,647.39 and 137,301.03

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Solution

The fourth proportional to 497,108.25, 745,647.39 and 137,301.03 is: 205,947.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,108.25 : 745,647.39 = 137,301.03 : x
  2. Step 2: Convert to fraction form
    497,108.25/745,647.39 = 137,301.03/x
  3. Step 3: Cross multiply
    497,108.25x = 745,647.39 × 137,301.03
  4. Step 4: Simplify right side
    497,108.25x = 102,378,154,663.81
  5. Step 5: Solve for x
    x = 102,378,154,663.81/497,108.25
  6. Step 6: Final answer
    x = 205,947.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.