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Finding the Fourth Proportional to 200,823.52, 301,025.10 and 67,657.77

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Solution

The fourth proportional to 200,823.52, 301,025.10 and 67,657.77 is: 101,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,823.52 : 301,025.10 = 67,657.77 : x
  2. Step 2: Convert to fraction form
    200,823.52/301,025.10 = 67,657.77/x
  3. Step 3: Cross multiply
    200,823.52x = 301,025.10 × 67,657.77
  4. Step 4: Simplify right side
    200,823.52x = 20,366,686,980.03
  5. Step 5: Solve for x
    x = 20,366,686,980.03/200,823.52
  6. Step 6: Final answer
    x = 101,415.85

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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.