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Finding the Fourth Proportional to 282,665.22, 424,012.44 and 72,304.98

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Solution

The fourth proportional to 282,665.22, 424,012.44 and 72,304.98 is: 108,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,665.22 : 424,012.44 = 72,304.98 : x
  2. Step 2: Convert to fraction form
    282,665.22/424,012.44 = 72,304.98/x
  3. Step 3: Cross multiply
    282,665.22x = 424,012.44 × 72,304.98
  4. Step 4: Simplify right side
    282,665.22x = 30,658,210,993.95
  5. Step 5: Solve for x
    x = 30,658,210,993.95/282,665.22
  6. Step 6: Final answer
    x = 108,461.21

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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.