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Finding the Fourth Proportional to 105,633.48, 158,446.98 and 43,257

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Solution

The fourth proportional to 105,633.48, 158,446.98 and 43,257 is: 64,884.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,633.48 : 158,446.98 = 43,257 : x
  2. Step 2: Convert to fraction form
    105,633.48/158,446.98 = 43,257/x
  3. Step 3: Cross multiply
    105,633.48x = 158,446.98 × 43,257
  4. Step 4: Simplify right side
    105,633.48x = 6,853,941,013.86
  5. Step 5: Solve for x
    x = 6,853,941,013.86/105,633.48
  6. Step 6: Final answer
    x = 64,884.17

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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.