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Finding the Fourth Proportional to 107,104.32, 160,650 and 28,218.42

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Solution

The fourth proportional to 107,104.32, 160,650 and 28,218.42 is: 42,325.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,104.32 : 160,650 = 28,218.42 : x
  2. Step 2: Convert to fraction form
    107,104.32/160,650 = 28,218.42/x
  3. Step 3: Cross multiply
    107,104.32x = 160,650 × 28,218.42
  4. Step 4: Simplify right side
    107,104.32x = 4,533,289,173
  5. Step 5: Solve for x
    x = 4,533,289,173/107,104.32
  6. Step 6: Final answer
    x = 42,325.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.