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Finding the Fourth Proportional to 282,066.82, 423,162.52 and 104,573.84

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Solution

The fourth proportional to 282,066.82, 423,162.52 and 104,573.84 is: 156,883.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,066.82 : 423,162.52 = 104,573.84 : x
  2. Step 2: Convert to fraction form
    282,066.82/423,162.52 = 104,573.84/x
  3. Step 3: Cross multiply
    282,066.82x = 423,162.52 × 104,573.84
  4. Step 4: Simplify right side
    282,066.82x = 44,251,727,283.23
  5. Step 5: Solve for x
    x = 44,251,727,283.23/282,066.82
  6. Step 6: Final answer
    x = 156,883.85

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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.