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Finding the Fourth Proportional to 105,160.66, 145,138.38 and 66,880.30

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Solution

The fourth proportional to 105,160.66, 145,138.38 and 66,880.30 is: 92,305.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,160.66 : 145,138.38 = 66,880.30 : x
  2. Step 2: Convert to fraction form
    105,160.66/145,138.38 = 66,880.30/x
  3. Step 3: Cross multiply
    105,160.66x = 145,138.38 × 66,880.30
  4. Step 4: Simplify right side
    105,160.66x = 9,706,898,395.91
  5. Step 5: Solve for x
    x = 9,706,898,395.91/105,160.66
  6. Step 6: Final answer
    x = 92,305.42

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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.