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Finding the Fourth Proportional to 224,208.31, 335,938.79 and 157,529.06

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Solution

The fourth proportional to 224,208.31, 335,938.79 and 157,529.06 is: 236,031.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,208.31 : 335,938.79 = 157,529.06 : x
  2. Step 2: Convert to fraction form
    224,208.31/335,938.79 = 157,529.06/x
  3. Step 3: Cross multiply
    224,208.31x = 335,938.79 × 157,529.06
  4. Step 4: Simplify right side
    224,208.31x = 52,920,123,039.91
  5. Step 5: Solve for x
    x = 52,920,123,039.91/224,208.31
  6. Step 6: Final answer
    x = 236,031.05

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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.