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Finding the Fourth Proportional to 200,355.76, 276,471.80 and 119,767.28

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Solution

The fourth proportional to 200,355.76, 276,471.80 and 119,767.28 is: 165,267.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,355.76 : 276,471.80 = 119,767.28 : x
  2. Step 2: Convert to fraction form
    200,355.76/276,471.80 = 119,767.28/x
  3. Step 3: Cross multiply
    200,355.76x = 276,471.80 × 119,767.28
  4. Step 4: Simplify right side
    200,355.76x = 33,112,275,482.70
  5. Step 5: Solve for x
    x = 33,112,275,482.70/200,355.76
  6. Step 6: Final answer
    x = 165,267.40

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Why These Related Problems?

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