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Finding the Fourth Proportional to 282,856.33, 424,004.24 and 132,828.07

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Solution

The fourth proportional to 282,856.33, 424,004.24 and 132,828.07 is: 199,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,856.33 : 424,004.24 = 132,828.07 : x
  2. Step 2: Convert to fraction form
    282,856.33/424,004.24 = 132,828.07/x
  3. Step 3: Cross multiply
    282,856.33x = 424,004.24 × 132,828.07
  4. Step 4: Simplify right side
    282,856.33x = 56,319,664,871.02
  5. Step 5: Solve for x
    x = 56,319,664,871.02/282,856.33
  6. Step 6: Final answer
    x = 199,110.50

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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.