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Finding the Fourth Proportional to 245,743.24, 368,614.62 and 77,262.76

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Solution

The fourth proportional to 245,743.24, 368,614.62 and 77,262.76 is: 115,894.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,743.24 : 368,614.62 = 77,262.76 : x
  2. Step 2: Convert to fraction form
    245,743.24/368,614.62 = 77,262.76/x
  3. Step 3: Cross multiply
    245,743.24x = 368,614.62 × 77,262.76
  4. Step 4: Simplify right side
    245,743.24x = 28,480,182,917.55
  5. Step 5: Solve for x
    x = 28,480,182,917.55/245,743.24
  6. Step 6: Final answer
    x = 115,894.06

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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.