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Finding the Fourth Proportional to 213,881.29, 295,187.82 and 123,220.01

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Solution

The fourth proportional to 213,881.29, 295,187.82 and 123,220.01 is: 170,061.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,881.29 : 295,187.82 = 123,220.01 : x
  2. Step 2: Convert to fraction form
    213,881.29/295,187.82 = 123,220.01/x
  3. Step 3: Cross multiply
    213,881.29x = 295,187.82 × 123,220.01
  4. Step 4: Simplify right side
    213,881.29x = 36,373,046,132.28
  5. Step 5: Solve for x
    x = 36,373,046,132.28/213,881.29
  6. Step 6: Final answer
    x = 170,061.84

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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.