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Finding the Fourth Proportional to 223,713.24, 335,569.50 and 153,379.32

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Solution

The fourth proportional to 223,713.24, 335,569.50 and 153,379.32 is: 230,068.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,713.24 : 335,569.50 = 153,379.32 : x
  2. Step 2: Convert to fraction form
    223,713.24/335,569.50 = 153,379.32/x
  3. Step 3: Cross multiply
    223,713.24x = 335,569.50 × 153,379.32
  4. Step 4: Simplify right side
    223,713.24x = 51,469,421,722.74
  5. Step 5: Solve for x
    x = 51,469,421,722.74/223,713.24
  6. Step 6: Final answer
    x = 230,068.73

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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.