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Finding the Fourth Proportional to 287,243.44, 431,062.02 and 100,254.94

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Solution

The fourth proportional to 287,243.44, 431,062.02 and 100,254.94 is: 150,451.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,243.44 : 431,062.02 = 100,254.94 : x
  2. Step 2: Convert to fraction form
    287,243.44/431,062.02 = 100,254.94/x
  3. Step 3: Cross multiply
    287,243.44x = 431,062.02 × 100,254.94
  4. Step 4: Simplify right side
    287,243.44x = 43,216,095,873.72
  5. Step 5: Solve for x
    x = 43,216,095,873.72/287,243.44
  6. Step 6: Final answer
    x = 150,451.12

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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.