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Finding the Fourth Proportional to 102,106.28, 153,142.14 and 28,217

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Solution

The fourth proportional to 102,106.28, 153,142.14 and 28,217 is: 42,320.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,106.28 : 153,142.14 = 28,217 : x
  2. Step 2: Convert to fraction form
    102,106.28/153,142.14 = 28,217/x
  3. Step 3: Cross multiply
    102,106.28x = 153,142.14 × 28,217
  4. Step 4: Simplify right side
    102,106.28x = 4,321,211,764.38
  5. Step 5: Solve for x
    x = 4,321,211,764.38/102,106.28
  6. Step 6: Final answer
    x = 42,320.72

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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.