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Finding the Fourth Proportional to 133,639.74, 200,482.02 and 49,400.10

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Solution

The fourth proportional to 133,639.74, 200,482.02 and 49,400.10 is: 74,108.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,639.74 : 200,482.02 = 49,400.10 : x
  2. Step 2: Convert to fraction form
    133,639.74/200,482.02 = 49,400.10/x
  3. Step 3: Cross multiply
    133,639.74x = 200,482.02 × 49,400.10
  4. Step 4: Simplify right side
    133,639.74x = 9,903,831,836.20
  5. Step 5: Solve for x
    x = 9,903,831,836.20/133,639.74
  6. Step 6: Final answer
    x = 74,108.43

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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.