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Finding the Fourth Proportional to 176,187.16, 264,206.22 and 70,977.88

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Solution

The fourth proportional to 176,187.16, 264,206.22 and 70,977.88 is: 106,436.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,187.16 : 264,206.22 = 70,977.88 : x
  2. Step 2: Convert to fraction form
    176,187.16/264,206.22 = 70,977.88/x
  3. Step 3: Cross multiply
    176,187.16x = 264,206.22 × 70,977.88
  4. Step 4: Simplify right side
    176,187.16x = 18,752,797,378.41
  5. Step 5: Solve for x
    x = 18,752,797,378.41/176,187.16
  6. Step 6: Final answer
    x = 106,436.80

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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.