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Finding the Fourth Proportional to 140,210, 210,316.44 and 41,714

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Solution

The fourth proportional to 140,210, 210,316.44 and 41,714 is: 62,571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,210 : 210,316.44 = 41,714 : x
  2. Step 2: Convert to fraction form
    140,210/210,316.44 = 41,714/x
  3. Step 3: Cross multiply
    140,210x = 210,316.44 × 41,714
  4. Step 4: Simplify right side
    140,210x = 8,773,139,978.16
  5. Step 5: Solve for x
    x = 8,773,139,978.16/140,210
  6. Step 6: Final answer
    x = 62,571.43

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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.