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Finding the Fourth Proportional to 282,698.52, 423,944.10 and 82,967.64

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Solution

The fourth proportional to 282,698.52, 423,944.10 and 82,967.64 is: 124,421.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,698.52 : 423,944.10 = 82,967.64 : x
  2. Step 2: Convert to fraction form
    282,698.52/423,944.10 = 82,967.64/x
  3. Step 3: Cross multiply
    282,698.52x = 423,944.10 × 82,967.64
  4. Step 4: Simplify right side
    282,698.52x = 35,173,641,468.92
  5. Step 5: Solve for x
    x = 35,173,641,468.92/282,698.52
  6. Step 6: Final answer
    x = 124,421.03

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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.