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Finding the Fourth Proportional to 160,879.76, 222,014.09 and 89,259.60

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Solution

The fourth proportional to 160,879.76, 222,014.09 and 89,259.60 is: 123,178.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,879.76 : 222,014.09 = 89,259.60 : x
  2. Step 2: Convert to fraction form
    160,879.76/222,014.09 = 89,259.60/x
  3. Step 3: Cross multiply
    160,879.76x = 222,014.09 × 89,259.60
  4. Step 4: Simplify right side
    160,879.76x = 19,816,888,421.47
  5. Step 5: Solve for x
    x = 19,816,888,421.47/160,879.76
  6. Step 6: Final answer
    x = 123,178.26

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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.