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Finding the Fourth Proportional to 156,075.32, 215,382.36 and 84,453.80

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Solution

The fourth proportional to 156,075.32, 215,382.36 and 84,453.80 is: 116,545.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,075.32 : 215,382.36 = 84,453.80 : x
  2. Step 2: Convert to fraction form
    156,075.32/215,382.36 = 84,453.80/x
  3. Step 3: Cross multiply
    156,075.32x = 215,382.36 × 84,453.80
  4. Step 4: Simplify right side
    156,075.32x = 18,189,858,754.97
  5. Step 5: Solve for x
    x = 18,189,858,754.97/156,075.32
  6. Step 6: Final answer
    x = 116,545.39

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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.