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Finding the Fourth Proportional to 100,353.88, 138,482.94 and 55,639

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Solution

The fourth proportional to 100,353.88, 138,482.94 and 55,639 is: 76,778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,353.88 : 138,482.94 = 55,639 : x
  2. Step 2: Convert to fraction form
    100,353.88/138,482.94 = 55,639/x
  3. Step 3: Cross multiply
    100,353.88x = 138,482.94 × 55,639
  4. Step 4: Simplify right side
    100,353.88x = 7,705,052,298.66
  5. Step 5: Solve for x
    x = 7,705,052,298.66/100,353.88
  6. Step 6: Final answer
    x = 76,778.82

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1.5x scale

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.