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Finding the Fourth Proportional to 176,113.29, 264,155.90 and 49,748.43

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Solution

The fourth proportional to 176,113.29, 264,155.90 and 49,748.43 is: 74,618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,113.29 : 264,155.90 = 49,748.43 : x
  2. Step 2: Convert to fraction form
    176,113.29/264,155.90 = 49,748.43/x
  3. Step 3: Cross multiply
    176,113.29x = 264,155.90 × 49,748.43
  4. Step 4: Simplify right side
    176,113.29x = 13,141,340,836.04
  5. Step 5: Solve for x
    x = 13,141,340,836.04/176,113.29
  6. Step 6: Final answer
    x = 74,618.68

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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.