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Finding the Fourth Proportional to 223,225.20, 334,837.80 and 57,013.20

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Solution

The fourth proportional to 223,225.20, 334,837.80 and 57,013.20 is: 85,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,225.20 : 334,837.80 = 57,013.20 : x
  2. Step 2: Convert to fraction form
    223,225.20/334,837.80 = 57,013.20/x
  3. Step 3: Cross multiply
    223,225.20x = 334,837.80 × 57,013.20
  4. Step 4: Simplify right side
    223,225.20x = 19,090,174,458.96
  5. Step 5: Solve for x
    x = 19,090,174,458.96/223,225.20
  6. Step 6: Final answer
    x = 85,519.80

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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.