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Finding the Fourth Proportional to 235,842.18, 353,468.00 and 185,724.33

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Solution

The fourth proportional to 235,842.18, 353,468.00 and 185,724.33 is: 278,353.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,842.18 : 353,468.00 = 185,724.33 : x
  2. Step 2: Convert to fraction form
    235,842.18/353,468.00 = 185,724.33/x
  3. Step 3: Cross multiply
    235,842.18x = 353,468.00 × 185,724.33
  4. Step 4: Simplify right side
    235,842.18x = 65,647,606,547.82
  5. Step 5: Solve for x
    x = 65,647,606,547.82/235,842.18
  6. Step 6: Final answer
    x = 278,353.97

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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.