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Finding the Fourth Proportional to 282,065.69, 423,160.83 and 104,572.72

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Solution

The fourth proportional to 282,065.69, 423,160.83 and 104,572.72 is: 156,882.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,065.69 : 423,160.83 = 104,572.72 : x
  2. Step 2: Convert to fraction form
    282,065.69/423,160.83 = 104,572.72/x
  3. Step 3: Cross multiply
    282,065.69x = 423,160.83 × 104,572.72
  4. Step 4: Simplify right side
    282,065.69x = 44,251,079,519.51
  5. Step 5: Solve for x
    x = 44,251,079,519.51/282,065.69
  6. Step 6: Final answer
    x = 156,882.18

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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.