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Finding the Fourth Proportional to 133,761.57, 200,632.10 and 49,482.10

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Solution

The fourth proportional to 133,761.57, 200,632.10 and 49,482.10 is: 74,219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,761.57 : 200,632.10 = 49,482.10 : x
  2. Step 2: Convert to fraction form
    133,761.57/200,632.10 = 49,482.10/x
  3. Step 3: Cross multiply
    133,761.57x = 200,632.10 × 49,482.10
  4. Step 4: Simplify right side
    133,761.57x = 9,927,697,635.41
  5. Step 5: Solve for x
    x = 9,927,697,635.41/133,761.57
  6. Step 6: Final answer
    x = 74,219.36

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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.