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Finding the Fourth Proportional to 282,968.73, 424,406.95 and 83,242.40

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Solution

The fourth proportional to 282,968.73, 424,406.95 and 83,242.40 is: 124,850.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,968.73 : 424,406.95 = 83,242.40 : x
  2. Step 2: Convert to fraction form
    282,968.73/424,406.95 = 83,242.40/x
  3. Step 3: Cross multiply
    282,968.73x = 424,406.95 × 83,242.40
  4. Step 4: Simplify right side
    282,968.73x = 35,328,653,094.68
  5. Step 5: Solve for x
    x = 35,328,653,094.68/282,968.73
  6. Step 6: Final answer
    x = 124,850.03

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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.