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Finding the Fourth Proportional to 202,564.80, 279,482.52 and 116,519.28

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Solution

The fourth proportional to 202,564.80, 279,482.52 and 116,519.28 is: 160,763.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,564.80 : 279,482.52 = 116,519.28 : x
  2. Step 2: Convert to fraction form
    202,564.80/279,482.52 = 116,519.28/x
  3. Step 3: Cross multiply
    202,564.80x = 279,482.52 × 116,519.28
  4. Step 4: Simplify right side
    202,564.80x = 32,565,102,002.99
  5. Step 5: Solve for x
    x = 32,565,102,002.99/202,564.80
  6. Step 6: Final answer
    x = 160,763.87

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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.