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Finding the Fourth Proportional to 105,434.50, 158,151.86 and 43,105

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Solution

The fourth proportional to 105,434.50, 158,151.86 and 43,105 is: 64,657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,434.50 : 158,151.86 = 43,105 : x
  2. Step 2: Convert to fraction form
    105,434.50/158,151.86 = 43,105/x
  3. Step 3: Cross multiply
    105,434.50x = 158,151.86 × 43,105
  4. Step 4: Simplify right side
    105,434.50x = 6,817,135,925.30
  5. Step 5: Solve for x
    x = 6,817,135,925.30/105,434.50
  6. Step 6: Final answer
    x = 64,657.54

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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.