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Finding the Fourth Proportional to 176,165.91, 264,258.08 and 49,815.40

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Solution

The fourth proportional to 176,165.91, 264,258.08 and 49,815.40 is: 74,725.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,165.91 : 264,258.08 = 49,815.40 : x
  2. Step 2: Convert to fraction form
    176,165.91/264,258.08 = 49,815.40/x
  3. Step 3: Cross multiply
    176,165.91x = 264,258.08 × 49,815.40
  4. Step 4: Simplify right side
    176,165.91x = 13,164,121,958.43
  5. Step 5: Solve for x
    x = 13,164,121,958.43/176,165.91
  6. Step 6: Final answer
    x = 74,725.71

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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.