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Finding the Fourth Proportional to 109,679.94, 164,585.43 and 100,756.98

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Solution

The fourth proportional to 109,679.94, 164,585.43 and 100,756.98 is: 151,195.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,679.94 : 164,585.43 = 100,756.98 : x
  2. Step 2: Convert to fraction form
    109,679.94/164,585.43 = 100,756.98/x
  3. Step 3: Cross multiply
    109,679.94x = 164,585.43 × 100,756.98
  4. Step 4: Simplify right side
    109,679.94x = 16,583,130,878.80
  5. Step 5: Solve for x
    x = 16,583,130,878.80/109,679.94
  6. Step 6: Final answer
    x = 151,195.66

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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.