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Finding the Fourth Proportional to 176,122.84, 264,199.62 and 49,764.40

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Solution

The fourth proportional to 176,122.84, 264,199.62 and 49,764.40 is: 74,650.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,122.84 : 264,199.62 = 49,764.40 : x
  2. Step 2: Convert to fraction form
    176,122.84/264,199.62 = 49,764.40/x
  3. Step 3: Cross multiply
    176,122.84x = 264,199.62 × 49,764.40
  4. Step 4: Simplify right side
    176,122.84x = 13,147,735,569.53
  5. Step 5: Solve for x
    x = 13,147,735,569.53/176,122.84
  6. Step 6: Final answer
    x = 74,650.94

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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.