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Finding the Fourth Proportional to 140,224.60, 210,023.21 and 65,232.37

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Solution

The fourth proportional to 140,224.60, 210,023.21 and 65,232.37 is: 97,702.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,224.60 : 210,023.21 = 65,232.37 : x
  2. Step 2: Convert to fraction form
    140,224.60/210,023.21 = 65,232.37/x
  3. Step 3: Cross multiply
    140,224.60x = 210,023.21 × 65,232.37
  4. Step 4: Simplify right side
    140,224.60x = 13,700,312,168.92
  5. Step 5: Solve for x
    x = 13,700,312,168.92/140,224.60
  6. Step 6: Final answer
    x = 97,702.63

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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.