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Finding the Fourth Proportional to 117,937.20, 176,905.80 and 51,409.20

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Solution

The fourth proportional to 117,937.20, 176,905.80 and 51,409.20 is: 77,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,937.20 : 176,905.80 = 51,409.20 : x
  2. Step 2: Convert to fraction form
    117,937.20/176,905.80 = 51,409.20/x
  3. Step 3: Cross multiply
    117,937.20x = 176,905.80 × 51,409.20
  4. Step 4: Simplify right side
    117,937.20x = 9,094,585,653.36
  5. Step 5: Solve for x
    x = 9,094,585,653.36/117,937.20
  6. Step 6: Final answer
    x = 77,113.80

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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.