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Finding the Fourth Proportional to 202,382.28, 279,266.34 and 117,482.76

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Solution

The fourth proportional to 202,382.28, 279,266.34 and 117,482.76 is: 162,113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,382.28 : 279,266.34 = 117,482.76 : x
  2. Step 2: Convert to fraction form
    202,382.28/279,266.34 = 117,482.76/x
  3. Step 3: Cross multiply
    202,382.28x = 279,266.34 × 117,482.76
  4. Step 4: Simplify right side
    202,382.28x = 32,808,980,398.30
  5. Step 5: Solve for x
    x = 32,808,980,398.30/202,382.28
  6. Step 6: Final answer
    x = 162,113.90

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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.