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Finding the Fourth Proportional to 282,055.74, 423,078.15 and 68,825.04

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Solution

The fourth proportional to 282,055.74, 423,078.15 and 68,825.04 is: 103,236.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,055.74 : 423,078.15 = 68,825.04 : x
  2. Step 2: Convert to fraction form
    282,055.74/423,078.15 = 68,825.04/x
  3. Step 3: Cross multiply
    282,055.74x = 423,078.15 × 68,825.04
  4. Step 4: Simplify right side
    282,055.74x = 29,118,370,596.88
  5. Step 5: Solve for x
    x = 29,118,370,596.88/282,055.74
  6. Step 6: Final answer
    x = 103,236.23

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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.