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Finding the Fourth Proportional to 102,227.10, 153,340.65 and 28,355.10

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Solution

The fourth proportional to 102,227.10, 153,340.65 and 28,355.10 is: 42,532.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,227.10 : 153,340.65 = 28,355.10 : x
  2. Step 2: Convert to fraction form
    102,227.10/153,340.65 = 28,355.10/x
  3. Step 3: Cross multiply
    102,227.10x = 153,340.65 × 28,355.10
  4. Step 4: Simplify right side
    102,227.10x = 4,347,989,464.82
  5. Step 5: Solve for x
    x = 4,347,989,464.82/102,227.10
  6. Step 6: Final answer
    x = 42,532.65

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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.