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Finding the Fourth Proportional to 106,420.20, 159,703.20 and 59,035.20

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Solution

The fourth proportional to 106,420.20, 159,703.20 and 59,035.20 is: 88,593.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,420.20 : 159,703.20 = 59,035.20 : x
  2. Step 2: Convert to fraction form
    106,420.20/159,703.20 = 59,035.20/x
  3. Step 3: Cross multiply
    106,420.20x = 159,703.20 × 59,035.20
  4. Step 4: Simplify right side
    106,420.20x = 9,428,110,352.64
  5. Step 5: Solve for x
    x = 9,428,110,352.64/106,420.20
  6. Step 6: Final answer
    x = 88,593.24

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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.