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Finding the Fourth Proportional to 240,897, 332,437.86 and 146,689

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Solution

The fourth proportional to 240,897, 332,437.86 and 146,689 is: 202,430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,897 : 332,437.86 = 146,689 : x
  2. Step 2: Convert to fraction form
    240,897/332,437.86 = 146,689/x
  3. Step 3: Cross multiply
    240,897x = 332,437.86 × 146,689
  4. Step 4: Simplify right side
    240,897x = 48,764,977,245.54
  5. Step 5: Solve for x
    x = 48,764,977,245.54/240,897
  6. Step 6: Final answer
    x = 202,430.82

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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.