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Finding the Fourth Proportional to 107,092.35, 160,646.40 and 28,206

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Solution

The fourth proportional to 107,092.35, 160,646.40 and 28,206 is: 42,311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,092.35 : 160,646.40 = 28,206 : x
  2. Step 2: Convert to fraction form
    107,092.35/160,646.40 = 28,206/x
  3. Step 3: Cross multiply
    107,092.35x = 160,646.40 × 28,206
  4. Step 4: Simplify right side
    107,092.35x = 4,531,192,358.40
  5. Step 5: Solve for x
    x = 4,531,192,358.40/107,092.35
  6. Step 6: Final answer
    x = 42,311.07

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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.