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Finding the Fourth Proportional to 109,131.13, 163,703.60 and 34,254.22

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Solution

The fourth proportional to 109,131.13, 163,703.60 and 34,254.22 is: 51,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,131.13 : 163,703.60 = 34,254.22 : x
  2. Step 2: Convert to fraction form
    109,131.13/163,703.60 = 34,254.22/x
  3. Step 3: Cross multiply
    109,131.13x = 163,703.60 × 34,254.22
  4. Step 4: Simplify right side
    109,131.13x = 5,607,539,129.19
  5. Step 5: Solve for x
    x = 5,607,539,129.19/109,131.13
  6. Step 6: Final answer
    x = 51,383.50

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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.