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Finding the Fourth Proportional to 240,569.82, 360,853.11 and 188,023.50

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Solution

The fourth proportional to 240,569.82, 360,853.11 and 188,023.50 is: 282,033.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,569.82 : 360,853.11 = 188,023.50 : x
  2. Step 2: Convert to fraction form
    240,569.82/360,853.11 = 188,023.50/x
  3. Step 3: Cross multiply
    240,569.82x = 360,853.11 × 188,023.50
  4. Step 4: Simplify right side
    240,569.82x = 67,848,864,728.09
  5. Step 5: Solve for x
    x = 67,848,864,728.09/240,569.82
  6. Step 6: Final answer
    x = 282,033.98

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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.