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Finding the Fourth Proportional to 176,077.46, 264,132.02 and 49,718.98

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Solution

The fourth proportional to 176,077.46, 264,132.02 and 49,718.98 is: 74,582.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,077.46 : 264,132.02 = 49,718.98 : x
  2. Step 2: Convert to fraction form
    176,077.46/264,132.02 = 49,718.98/x
  3. Step 3: Cross multiply
    176,077.46x = 264,132.02 × 49,718.98
  4. Step 4: Simplify right side
    176,077.46x = 13,132,375,074.20
  5. Step 5: Solve for x
    x = 13,132,375,074.20/176,077.46
  6. Step 6: Final answer
    x = 74,582.94

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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.