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Finding the Fourth Proportional to 117,898.64, 176,846.34 and 51,337.36

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Solution

The fourth proportional to 117,898.64, 176,846.34 and 51,337.36 is: 77,005.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,898.64 : 176,846.34 = 51,337.36 : x
  2. Step 2: Convert to fraction form
    117,898.64/176,846.34 = 51,337.36/x
  3. Step 3: Cross multiply
    117,898.64x = 176,846.34 × 51,337.36
  4. Step 4: Simplify right side
    117,898.64x = 9,078,824,221.26
  5. Step 5: Solve for x
    x = 9,078,824,221.26/117,898.64
  6. Step 6: Final answer
    x = 77,005.33

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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.