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Finding the Fourth Proportional to 117,657.93, 176,387.76 and 51,047.94

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Solution

The fourth proportional to 117,657.93, 176,387.76 and 51,047.94 is: 76,528.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,657.93 : 176,387.76 = 51,047.94 : x
  2. Step 2: Convert to fraction form
    117,657.93/176,387.76 = 51,047.94/x
  3. Step 3: Cross multiply
    117,657.93x = 176,387.76 × 51,047.94
  4. Step 4: Simplify right side
    117,657.93x = 9,004,231,789.21
  5. Step 5: Solve for x
    x = 9,004,231,789.21/117,657.93
  6. Step 6: Final answer
    x = 76,528.90

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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.