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Finding the Fourth Proportional to 146,317.84, 201,935 and 82,659.74

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Solution

The fourth proportional to 146,317.84, 201,935 and 82,659.74 is: 114,079.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,317.84 : 201,935 = 82,659.74 : x
  2. Step 2: Convert to fraction form
    146,317.84/201,935 = 82,659.74/x
  3. Step 3: Cross multiply
    146,317.84x = 201,935 × 82,659.74
  4. Step 4: Simplify right side
    146,317.84x = 16,691,894,596.90
  5. Step 5: Solve for x
    x = 16,691,894,596.90/146,317.84
  6. Step 6: Final answer
    x = 114,079.70

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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.