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Finding the Fourth Proportional to 176,277, 264,429.36 and 49,915.20

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Solution

The fourth proportional to 176,277, 264,429.36 and 49,915.20 is: 74,876.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,277 : 264,429.36 = 49,915.20 : x
  2. Step 2: Convert to fraction form
    176,277/264,429.36 = 49,915.20/x
  3. Step 3: Cross multiply
    176,277x = 264,429.36 × 49,915.20
  4. Step 4: Simplify right side
    176,277x = 13,199,044,390.27
  5. Step 5: Solve for x
    x = 13,199,044,390.27/176,277
  6. Step 6: Final answer
    x = 74,876.72

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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.