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Finding the Fourth Proportional to 157,978.41, 237,026.76 and 82,029.57

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Solution

The fourth proportional to 157,978.41, 237,026.76 and 82,029.57 is: 123,075.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,978.41 : 237,026.76 = 82,029.57 : x
  2. Step 2: Convert to fraction form
    157,978.41/237,026.76 = 82,029.57/x
  3. Step 3: Cross multiply
    157,978.41x = 237,026.76 × 82,029.57
  4. Step 4: Simplify right side
    157,978.41x = 19,443,203,201.29
  5. Step 5: Solve for x
    x = 19,443,203,201.29/157,978.41
  6. Step 6: Final answer
    x = 123,075.07

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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.