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Finding the Fourth Proportional to 146,501.91, 202,173 and 82,840.14

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Solution

The fourth proportional to 146,501.91, 202,173 and 82,840.14 is: 114,319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,501.91 : 202,173 = 82,840.14 : x
  2. Step 2: Convert to fraction form
    146,501.91/202,173 = 82,840.14/x
  3. Step 3: Cross multiply
    146,501.91x = 202,173 × 82,840.14
  4. Step 4: Simplify right side
    146,501.91x = 16,748,039,624.22
  5. Step 5: Solve for x
    x = 16,748,039,624.22/146,501.91
  6. Step 6: Final answer
    x = 114,319.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.