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Finding the Fourth Proportional to 109,407.12, 150,981.72 and 59,106.12

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Solution

The fourth proportional to 109,407.12, 150,981.72 and 59,106.12 is: 81,566.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,407.12 : 150,981.72 = 59,106.12 : x
  2. Step 2: Convert to fraction form
    109,407.12/150,981.72 = 59,106.12/x
  3. Step 3: Cross multiply
    109,407.12x = 150,981.72 × 59,106.12
  4. Step 4: Simplify right side
    109,407.12x = 8,923,943,660.13
  5. Step 5: Solve for x
    x = 8,923,943,660.13/109,407.12
  6. Step 6: Final answer
    x = 81,566.39

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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.