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Finding the Fourth Proportional to 157,221.78, 235,783.02 and 50,581.98

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Solution

The fourth proportional to 157,221.78, 235,783.02 and 50,581.98 is: 75,857.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,221.78 : 235,783.02 = 50,581.98 : x
  2. Step 2: Convert to fraction form
    157,221.78/235,783.02 = 50,581.98/x
  3. Step 3: Cross multiply
    157,221.78x = 235,783.02 × 50,581.98
  4. Step 4: Simplify right side
    157,221.78x = 11,926,372,001.98
  5. Step 5: Solve for x
    x = 11,926,372,001.98/157,221.78
  6. Step 6: Final answer
    x = 75,857.00

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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.