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Finding the Fourth Proportional to 109,195.63, 163,792.90 and 42,642.52

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Solution

The fourth proportional to 109,195.63, 163,792.90 and 42,642.52 is: 63,963.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,195.63 : 163,792.90 = 42,642.52 : x
  2. Step 2: Convert to fraction form
    109,195.63/163,792.90 = 42,642.52/x
  3. Step 3: Cross multiply
    109,195.63x = 163,792.90 × 42,642.52
  4. Step 4: Simplify right side
    109,195.63x = 6,984,542,014.11
  5. Step 5: Solve for x
    x = 6,984,542,014.11/109,195.63
  6. Step 6: Final answer
    x = 63,963.57

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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.