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Finding the Fourth Proportional to 162,019.44, 223,560 and 108,218.16

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Solution

The fourth proportional to 162,019.44, 223,560 and 108,218.16 is: 149,323.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,019.44 : 223,560 = 108,218.16 : x
  2. Step 2: Convert to fraction form
    162,019.44/223,560 = 108,218.16/x
  3. Step 3: Cross multiply
    162,019.44x = 223,560 × 108,218.16
  4. Step 4: Simplify right side
    162,019.44x = 24,193,251,849.60
  5. Step 5: Solve for x
    x = 24,193,251,849.60/162,019.44
  6. Step 6: Final answer
    x = 149,323.14

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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.