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Finding the Fourth Proportional to 109,407, 150,981.84 and 59,106

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Solution

The fourth proportional to 109,407, 150,981.84 and 59,106 is: 81,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,407 : 150,981.84 = 59,106 : x
  2. Step 2: Convert to fraction form
    109,407/150,981.84 = 59,106/x
  3. Step 3: Cross multiply
    109,407x = 150,981.84 × 59,106
  4. Step 4: Simplify right side
    109,407x = 8,923,932,635.04
  5. Step 5: Solve for x
    x = 8,923,932,635.04/109,407
  6. Step 6: Final answer
    x = 81,566.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.