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Finding the Fourth Proportional to 218,995.20, 328,492.14 and 52,783.20

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Solution

The fourth proportional to 218,995.20, 328,492.14 and 52,783.20 is: 79,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,995.20 : 328,492.14 = 52,783.20 : x
  2. Step 2: Convert to fraction form
    218,995.20/328,492.14 = 52,783.20/x
  3. Step 3: Cross multiply
    218,995.20x = 328,492.14 × 52,783.20
  4. Step 4: Simplify right side
    218,995.20x = 17,338,866,324.05
  5. Step 5: Solve for x
    x = 17,338,866,324.05/218,995.20
  6. Step 6: Final answer
    x = 79,174.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.