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Finding the Fourth Proportional to 102,075.52, 140,882.75 and 59,049.94

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Solution

The fourth proportional to 102,075.52, 140,882.75 and 59,049.94 is: 81,499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,075.52 : 140,882.75 = 59,049.94 : x
  2. Step 2: Convert to fraction form
    102,075.52/140,882.75 = 59,049.94/x
  3. Step 3: Cross multiply
    102,075.52x = 140,882.75 × 59,049.94
  4. Step 4: Simplify right side
    102,075.52x = 8,319,117,934.54
  5. Step 5: Solve for x
    x = 8,319,117,934.54/102,075.52
  6. Step 6: Final answer
    x = 81,499.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.