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Finding the Fourth Proportional to 157,175.30, 235,819.79 and 97,133.50

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Solution

The fourth proportional to 157,175.30, 235,819.79 and 97,133.50 is: 145,735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,175.30 : 235,819.79 = 97,133.50 : x
  2. Step 2: Convert to fraction form
    157,175.30/235,819.79 = 97,133.50/x
  3. Step 3: Cross multiply
    157,175.30x = 235,819.79 × 97,133.50
  4. Step 4: Simplify right side
    157,175.30x = 22,906,001,571.97
  5. Step 5: Solve for x
    x = 22,906,001,571.97/157,175.30
  6. Step 6: Final answer
    x = 145,735.38

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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.