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Finding the Fourth Proportional to 133,356.78, 200,113.74 and 49,176.18

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Solution

The fourth proportional to 133,356.78, 200,113.74 and 49,176.18 is: 73,793.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,356.78 : 200,113.74 = 49,176.18 : x
  2. Step 2: Convert to fraction form
    133,356.78/200,113.74 = 49,176.18/x
  3. Step 3: Cross multiply
    133,356.78x = 200,113.74 × 49,176.18
  4. Step 4: Simplify right side
    133,356.78x = 9,840,829,298.71
  5. Step 5: Solve for x
    x = 9,840,829,298.71/133,356.78
  6. Step 6: Final answer
    x = 73,793.24

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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.