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Finding the Fourth Proportional to 287,243.33, 431,061.80 and 100,254.83

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Solution

The fourth proportional to 287,243.33, 431,061.80 and 100,254.83 is: 150,450.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,243.33 : 431,061.80 = 100,254.83 : x
  2. Step 2: Convert to fraction form
    287,243.33/431,061.80 = 100,254.83/x
  3. Step 3: Cross multiply
    287,243.33x = 431,061.80 × 100,254.83
  4. Step 4: Simplify right side
    287,243.33x = 43,216,026,977.22
  5. Step 5: Solve for x
    x = 43,216,026,977.22/287,243.33
  6. Step 6: Final answer
    x = 150,450.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.