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Finding the Fourth Proportional to 133,975.17, 200,981.17 and 49,728.18

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Solution

The fourth proportional to 133,975.17, 200,981.17 and 49,728.18 is: 74,599.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,975.17 : 200,981.17 = 49,728.18 : x
  2. Step 2: Convert to fraction form
    133,975.17/200,981.17 = 49,728.18/x
  3. Step 3: Cross multiply
    133,975.17x = 200,981.17 × 49,728.18
  4. Step 4: Simplify right side
    133,975.17x = 9,994,427,798.37
  5. Step 5: Solve for x
    x = 9,994,427,798.37/133,975.17
  6. Step 6: Final answer
    x = 74,599.11

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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.