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Finding the Fourth Proportional to 105,636, 158,256.24 and 52,983.84

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Solution

The fourth proportional to 105,636, 158,256.24 and 52,983.84 is: 79,376.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,636 : 158,256.24 = 52,983.84 : x
  2. Step 2: Convert to fraction form
    105,636/158,256.24 = 52,983.84/x
  3. Step 3: Cross multiply
    105,636x = 158,256.24 × 52,983.84
  4. Step 4: Simplify right side
    105,636x = 8,385,023,299.16
  5. Step 5: Solve for x
    x = 8,385,023,299.16/105,636
  6. Step 6: Final answer
    x = 79,376.57

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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.