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Finding the Fourth Proportional to 280,342.30, 386,866.21 and 153,020.02

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Solution

The fourth proportional to 280,342.30, 386,866.21 and 153,020.02 is: 211,164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,342.30 : 386,866.21 = 153,020.02 : x
  2. Step 2: Convert to fraction form
    280,342.30/386,866.21 = 153,020.02/x
  3. Step 3: Cross multiply
    280,342.30x = 386,866.21 × 153,020.02
  4. Step 4: Simplify right side
    280,342.30x = 59,198,275,191.52
  5. Step 5: Solve for x
    x = 59,198,275,191.52/280,342.30
  6. Step 6: Final answer
    x = 211,164.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.