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Finding the Fourth Proportional to 109,360.80, 164,041.20 and 59,464.80

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Solution

The fourth proportional to 109,360.80, 164,041.20 and 59,464.80 is: 89,197.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,360.80 : 164,041.20 = 59,464.80 : x
  2. Step 2: Convert to fraction form
    109,360.80/164,041.20 = 59,464.80/x
  3. Step 3: Cross multiply
    109,360.80x = 164,041.20 × 59,464.80
  4. Step 4: Simplify right side
    109,360.80x = 9,754,677,149.76
  5. Step 5: Solve for x
    x = 9,754,677,149.76/109,360.80
  6. Step 6: Final answer
    x = 89,197.20

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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.