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Finding the Fourth Proportional to 140,174.26, 210,259.41 and 65,252.50

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Solution

The fourth proportional to 140,174.26, 210,259.41 and 65,252.50 is: 97,877.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,174.26 : 210,259.41 = 65,252.50 : x
  2. Step 2: Convert to fraction form
    140,174.26/210,259.41 = 65,252.50/x
  3. Step 3: Cross multiply
    140,174.26x = 210,259.41 × 65,252.50
  4. Step 4: Simplify right side
    140,174.26x = 13,719,952,151.03
  5. Step 5: Solve for x
    x = 13,719,952,151.03/140,174.26
  6. Step 6: Final answer
    x = 97,877.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.