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Finding the Fourth Proportional to 177,825, 245,398.50 and 98,337

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Solution

The fourth proportional to 177,825, 245,398.50 and 98,337 is: 135,705.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,825 : 245,398.50 = 98,337 : x
  2. Step 2: Convert to fraction form
    177,825/245,398.50 = 98,337/x
  3. Step 3: Cross multiply
    177,825x = 245,398.50 × 98,337
  4. Step 4: Simplify right side
    177,825x = 24,131,752,294.50
  5. Step 5: Solve for x
    x = 24,131,752,294.50/177,825
  6. Step 6: Final answer
    x = 135,705.06

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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.