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Finding the Fourth Proportional to 10,200.30, 15,300.45 and 10,103.10

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Solution

The fourth proportional to 10,200.30, 15,300.45 and 10,103.10 is: 15,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.30 : 15,300.45 = 10,103.10 : x
  2. Step 2: Convert to fraction form
    10,200.30/15,300.45 = 10,103.10/x
  3. Step 3: Cross multiply
    10,200.30x = 15,300.45 × 10,103.10
  4. Step 4: Simplify right side
    10,200.30x = 154,581,976.40
  5. Step 5: Solve for x
    x = 154,581,976.40/10,200.30
  6. Step 6: Final answer
    x = 15,154.65

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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.