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Finding the Fourth Proportional to 282,779.52, 424,057.60 and 114,268

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Solution

The fourth proportional to 282,779.52, 424,057.60 and 114,268 is: 171,356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,779.52 : 424,057.60 = 114,268 : x
  2. Step 2: Convert to fraction form
    282,779.52/424,057.60 = 114,268/x
  3. Step 3: Cross multiply
    282,779.52x = 424,057.60 × 114,268
  4. Step 4: Simplify right side
    282,779.52x = 48,456,213,836.80
  5. Step 5: Solve for x
    x = 48,456,213,836.80/282,779.52
  6. Step 6: Final answer
    x = 171,356.87

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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.