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Finding the Fourth Proportional to 160,028.16, 220,843.32 and 88,412.80

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Solution

The fourth proportional to 160,028.16, 220,843.32 and 88,412.80 is: 122,012.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,028.16 : 220,843.32 = 88,412.80 : x
  2. Step 2: Convert to fraction form
    160,028.16/220,843.32 = 88,412.80/x
  3. Step 3: Cross multiply
    160,028.16x = 220,843.32 × 88,412.80
  4. Step 4: Simplify right side
    160,028.16x = 19,525,376,282.50
  5. Step 5: Solve for x
    x = 19,525,376,282.50/160,028.16
  6. Step 6: Final answer
    x = 122,012.13

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1.5x scale

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.