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Finding the Fourth Proportional to 157,977.95, 237,026.12 and 82,029.11

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Solution

The fourth proportional to 157,977.95, 237,026.12 and 82,029.11 is: 123,074.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,977.95 : 237,026.12 = 82,029.11 : x
  2. Step 2: Convert to fraction form
    157,977.95/237,026.12 = 82,029.11/x
  3. Step 3: Cross multiply
    157,977.95x = 237,026.12 × 82,029.11
  4. Step 4: Simplify right side
    157,977.95x = 19,443,040,075.08
  5. Step 5: Solve for x
    x = 19,443,040,075.08/157,977.95
  6. Step 6: Final answer
    x = 123,074.40

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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.