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Finding the Fourth Proportional to 422,267.08, 633,422.40 and 106,726.72

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Solution

The fourth proportional to 422,267.08, 633,422.40 and 106,726.72 is: 160,095.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,267.08 : 633,422.40 = 106,726.72 : x
  2. Step 2: Convert to fraction form
    422,267.08/633,422.40 = 106,726.72/x
  3. Step 3: Cross multiply
    422,267.08x = 633,422.40 × 106,726.72
  4. Step 4: Simplify right side
    422,267.08x = 67,603,095,126.53
  5. Step 5: Solve for x
    x = 67,603,095,126.53/422,267.08
  6. Step 6: Final answer
    x = 160,095.58

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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.