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Finding the Fourth Proportional to 223,605.74, 335,410.95 and 65,837.18

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Solution

The fourth proportional to 223,605.74, 335,410.95 and 65,837.18 is: 98,756.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,605.74 : 335,410.95 = 65,837.18 : x
  2. Step 2: Convert to fraction form
    223,605.74/335,410.95 = 65,837.18/x
  3. Step 3: Cross multiply
    223,605.74x = 335,410.95 × 65,837.18
  4. Step 4: Simplify right side
    223,605.74x = 22,082,511,089.12
  5. Step 5: Solve for x
    x = 22,082,511,089.12/223,605.74
  6. Step 6: Final answer
    x = 98,756.46

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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.