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Finding the Fourth Proportional to 176,134.10, 264,211.80 and 49,783.79

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Solution

The fourth proportional to 176,134.10, 264,211.80 and 49,783.79 is: 74,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,134.10 : 264,211.80 = 49,783.79 : x
  2. Step 2: Convert to fraction form
    176,134.10/264,211.80 = 49,783.79/x
  3. Step 3: Cross multiply
    176,134.10x = 264,211.80 × 49,783.79
  4. Step 4: Simplify right side
    176,134.10x = 13,153,464,766.72
  5. Step 5: Solve for x
    x = 13,153,464,766.72/176,134.10
  6. Step 6: Final answer
    x = 74,678.70

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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.