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Finding the Fourth Proportional to 120,570.88, 180,857.86 and 83,120.94

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Solution

The fourth proportional to 120,570.88, 180,857.86 and 83,120.94 is: 124,682.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,570.88 : 180,857.86 = 83,120.94 : x
  2. Step 2: Convert to fraction form
    120,570.88/180,857.86 = 83,120.94/x
  3. Step 3: Cross multiply
    120,570.88x = 180,857.86 × 83,120.94
  4. Step 4: Simplify right side
    120,570.88x = 15,033,075,329.59
  5. Step 5: Solve for x
    x = 15,033,075,329.59/120,570.88
  6. Step 6: Final answer
    x = 124,682.47

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1.5x scale

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.