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Finding the Fourth Proportional to 177,682.32, 266,488.80 and 51,313.68

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Solution

The fourth proportional to 177,682.32, 266,488.80 and 51,313.68 is: 76,960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,682.32 : 266,488.80 = 51,313.68 : x
  2. Step 2: Convert to fraction form
    177,682.32/266,488.80 = 51,313.68/x
  3. Step 3: Cross multiply
    177,682.32x = 266,488.80 × 51,313.68
  4. Step 4: Simplify right side
    177,682.32x = 13,674,521,006.78
  5. Step 5: Solve for x
    x = 13,674,521,006.78/177,682.32
  6. Step 6: Final answer
    x = 76,960.50

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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.