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Finding the Fourth Proportional to 263,672.95, 363,891.05 and 148,972.68

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Solution

The fourth proportional to 263,672.95, 363,891.05 and 148,972.68 is: 205,594.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,672.95 : 363,891.05 = 148,972.68 : x
  2. Step 2: Convert to fraction form
    263,672.95/363,891.05 = 148,972.68/x
  3. Step 3: Cross multiply
    263,672.95x = 363,891.05 × 148,972.68
  4. Step 4: Simplify right side
    263,672.95x = 54,209,824,946.51
  5. Step 5: Solve for x
    x = 54,209,824,946.51/263,672.95
  6. Step 6: Final answer
    x = 205,594.94

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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.