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Finding the Fourth Proportional to 140,122.64, 210,178.07 and 65,217.02

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Solution

The fourth proportional to 140,122.64, 210,178.07 and 65,217.02 is: 97,822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,122.64 : 210,178.07 = 65,217.02 : x
  2. Step 2: Convert to fraction form
    140,122.64/210,178.07 = 65,217.02/x
  3. Step 3: Cross multiply
    140,122.64x = 210,178.07 × 65,217.02
  4. Step 4: Simplify right side
    140,122.64x = 13,707,186,180.82
  5. Step 5: Solve for x
    x = 13,707,186,180.82/140,122.64
  6. Step 6: Final answer
    x = 97,822.78

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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.