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Finding the Fourth Proportional to 117,916.44, 176,838.21 and 39,014.34

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Solution

The fourth proportional to 117,916.44, 176,838.21 and 39,014.34 is: 58,509.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,916.44 : 176,838.21 = 39,014.34 : x
  2. Step 2: Convert to fraction form
    117,916.44/176,838.21 = 39,014.34/x
  3. Step 3: Cross multiply
    117,916.44x = 176,838.21 × 39,014.34
  4. Step 4: Simplify right side
    117,916.44x = 6,899,226,049.93
  5. Step 5: Solve for x
    x = 6,899,226,049.93/117,916.44
  6. Step 6: Final answer
    x = 58,509.45

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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.