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Finding the Fourth Proportional to 109,133.13, 163,706.60 and 34,256.22

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Solution

The fourth proportional to 109,133.13, 163,706.60 and 34,256.22 is: 51,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,133.13 : 163,706.60 = 34,256.22 : x
  2. Step 2: Convert to fraction form
    109,133.13/163,706.60 = 34,256.22/x
  3. Step 3: Cross multiply
    109,133.13x = 163,706.60 × 34,256.22
  4. Step 4: Simplify right side
    109,133.13x = 5,607,969,305.05
  5. Step 5: Solve for x
    x = 5,607,969,305.05/109,133.13
  6. Step 6: Final answer
    x = 51,386.50

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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.