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Finding the Fourth Proportional to 282,842.37, 424,263.36 and 83,164.41

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Solution

The fourth proportional to 282,842.37, 424,263.36 and 83,164.41 is: 124,746.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,842.37 : 424,263.36 = 83,164.41 : x
  2. Step 2: Convert to fraction form
    282,842.37/424,263.36 = 83,164.41/x
  3. Step 3: Cross multiply
    282,842.37x = 424,263.36 × 83,164.41
  4. Step 4: Simplify right side
    282,842.37x = 35,283,612,019.02
  5. Step 5: Solve for x
    x = 35,283,612,019.02/282,842.37
  6. Step 6: Final answer
    x = 124,746.56

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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.