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Finding the Fourth Proportional to 186,866.82, 280,337.13 and 68,539.23

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Solution

The fourth proportional to 186,866.82, 280,337.13 and 68,539.23 is: 102,822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,866.82 : 280,337.13 = 68,539.23 : x
  2. Step 2: Convert to fraction form
    186,866.82/280,337.13 = 68,539.23/x
  3. Step 3: Cross multiply
    186,866.82x = 280,337.13 × 68,539.23
  4. Step 4: Simplify right side
    186,866.82x = 19,214,091,030.61
  5. Step 5: Solve for x
    x = 19,214,091,030.61/186,866.82
  6. Step 6: Final answer
    x = 102,822.38

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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.