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Finding the Fourth Proportional to 157,305.98, 235,748.82 and 57,372.32

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Solution

The fourth proportional to 157,305.98, 235,748.82 and 57,372.32 is: 85,981.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,305.98 : 235,748.82 = 57,372.32 : x
  2. Step 2: Convert to fraction form
    157,305.98/235,748.82 = 57,372.32/x
  3. Step 3: Cross multiply
    157,305.98x = 235,748.82 × 57,372.32
  4. Step 4: Simplify right side
    157,305.98x = 13,525,456,740.66
  5. Step 5: Solve for x
    x = 13,525,456,740.66/157,305.98
  6. Step 6: Final answer
    x = 85,981.83

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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.