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Finding the Fourth Proportional to 164,838.78, 247,244.50 and 52,514.46

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Solution

The fourth proportional to 164,838.78, 247,244.50 and 52,514.46 is: 78,767.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,838.78 : 247,244.50 = 52,514.46 : x
  2. Step 2: Convert to fraction form
    164,838.78/247,244.50 = 52,514.46/x
  3. Step 3: Cross multiply
    164,838.78x = 247,244.50 × 52,514.46
  4. Step 4: Simplify right side
    164,838.78x = 12,983,911,471.11
  5. Step 5: Solve for x
    x = 12,983,911,471.11/164,838.78
  6. Step 6: Final answer
    x = 78,767.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.