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Finding the Fourth Proportional to 267,702.06, 401,590.14 and 90,259.83

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Solution

The fourth proportional to 267,702.06, 401,590.14 and 90,259.83 is: 135,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,702.06 : 401,590.14 = 90,259.83 : x
  2. Step 2: Convert to fraction form
    267,702.06/401,590.14 = 90,259.83/x
  3. Step 3: Cross multiply
    267,702.06x = 401,590.14 × 90,259.83
  4. Step 4: Simplify right side
    267,702.06x = 36,247,457,766.08
  5. Step 5: Solve for x
    x = 36,247,457,766.08/267,702.06
  6. Step 6: Final answer
    x = 135,402.24

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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.