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Finding the Fourth Proportional to 109,480.80, 164,264.40 and 42,909.60

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Solution

The fourth proportional to 109,480.80, 164,264.40 and 42,909.60 is: 64,381.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,480.80 : 164,264.40 = 42,909.60 : x
  2. Step 2: Convert to fraction form
    109,480.80/164,264.40 = 42,909.60/x
  3. Step 3: Cross multiply
    109,480.80x = 164,264.40 × 42,909.60
  4. Step 4: Simplify right side
    109,480.80x = 7,048,519,698.24
  5. Step 5: Solve for x
    x = 7,048,519,698.24/109,480.80
  6. Step 6: Final answer
    x = 64,381.33

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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.