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Finding the Fourth Proportional to 245,524.25, 368,301.96 and 77,051.23

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Solution

The fourth proportional to 245,524.25, 368,301.96 and 77,051.23 is: 115,581.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,524.25 : 368,301.96 = 77,051.23 : x
  2. Step 2: Convert to fraction form
    245,524.25/368,301.96 = 77,051.23/x
  3. Step 3: Cross multiply
    245,524.25x = 368,301.96 × 77,051.23
  4. Step 4: Simplify right side
    245,524.25x = 28,378,117,819.71
  5. Step 5: Solve for x
    x = 28,378,117,819.71/245,524.25
  6. Step 6: Final answer
    x = 115,581.73

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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.