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Finding the Fourth Proportional to 106,236, 159,361.29 and 35,158.50

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Solution

The fourth proportional to 106,236, 159,361.29 and 35,158.50 is: 52,740.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,236 : 159,361.29 = 35,158.50 : x
  2. Step 2: Convert to fraction form
    106,236/159,361.29 = 35,158.50/x
  3. Step 3: Cross multiply
    106,236x = 159,361.29 × 35,158.50
  4. Step 4: Simplify right side
    106,236x = 5,602,903,914.47
  5. Step 5: Solve for x
    x = 5,602,903,914.47/106,236
  6. Step 6: Final answer
    x = 52,740.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.