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Finding the Fourth Proportional to 107,098.32, 160,655.28 and 28,212

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Solution

The fourth proportional to 107,098.32, 160,655.28 and 28,212 is: 42,320.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,098.32 : 160,655.28 = 28,212 : x
  2. Step 2: Convert to fraction form
    107,098.32/160,655.28 = 28,212/x
  3. Step 3: Cross multiply
    107,098.32x = 160,655.28 × 28,212
  4. Step 4: Simplify right side
    107,098.32x = 4,532,406,759.36
  5. Step 5: Solve for x
    x = 4,532,406,759.36/107,098.32
  6. Step 6: Final answer
    x = 42,320.05

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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.