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Finding the Fourth Proportional to 223,715.74, 335,573.24 and 153,381.82

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Solution

The fourth proportional to 223,715.74, 335,573.24 and 153,381.82 is: 230,072.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,715.74 : 335,573.24 = 153,381.82 : x
  2. Step 2: Convert to fraction form
    223,715.74/335,573.24 = 153,381.82/x
  3. Step 3: Cross multiply
    223,715.74x = 335,573.24 × 153,381.82
  4. Step 4: Simplify right side
    223,715.74x = 51,470,834,294.50
  5. Step 5: Solve for x
    x = 51,470,834,294.50/223,715.74
  6. Step 6: Final answer
    x = 230,072.48

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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.