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Finding the Fourth Proportional to 200,154.29, 276,210.45 and 109,509.12

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Solution

The fourth proportional to 200,154.29, 276,210.45 and 109,509.12 is: 151,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,154.29 : 276,210.45 = 109,509.12 : x
  2. Step 2: Convert to fraction form
    200,154.29/276,210.45 = 109,509.12/x
  3. Step 3: Cross multiply
    200,154.29x = 276,210.45 × 109,509.12
  4. Step 4: Simplify right side
    200,154.29x = 30,247,563,314.30
  5. Step 5: Solve for x
    x = 30,247,563,314.30/200,154.29
  6. Step 6: Final answer
    x = 151,121.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.