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Finding the Fourth Proportional to 102,104.28, 153,139.14 and 28,215

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Solution

The fourth proportional to 102,104.28, 153,139.14 and 28,215 is: 42,317.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,104.28 : 153,139.14 = 28,215 : x
  2. Step 2: Convert to fraction form
    102,104.28/153,139.14 = 28,215/x
  3. Step 3: Cross multiply
    102,104.28x = 153,139.14 × 28,215
  4. Step 4: Simplify right side
    102,104.28x = 4,320,820,835.10
  5. Step 5: Solve for x
    x = 4,320,820,835.10/102,104.28
  6. Step 6: Final answer
    x = 42,317.72

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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.