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Finding the Fourth Proportional to 157,972.80, 237,029.40 and 83,074.80

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Solution

The fourth proportional to 157,972.80, 237,029.40 and 83,074.80 is: 124,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,972.80 : 237,029.40 = 83,074.80 : x
  2. Step 2: Convert to fraction form
    157,972.80/237,029.40 = 83,074.80/x
  3. Step 3: Cross multiply
    157,972.80x = 237,029.40 × 83,074.80
  4. Step 4: Simplify right side
    157,972.80x = 19,691,169,999.12
  5. Step 5: Solve for x
    x = 19,691,169,999.12/157,972.80
  6. Step 6: Final answer
    x = 124,649.12

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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.