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Finding the Fourth Proportional to 160,870.16, 222,002.16 and 89,254.88

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Solution

The fourth proportional to 160,870.16, 222,002.16 and 89,254.88 is: 123,172.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,870.16 : 222,002.16 = 89,254.88 : x
  2. Step 2: Convert to fraction form
    160,870.16/222,002.16 = 89,254.88/x
  3. Step 3: Cross multiply
    160,870.16x = 222,002.16 × 89,254.88
  4. Step 4: Simplify right side
    160,870.16x = 19,814,776,150.54
  5. Step 5: Solve for x
    x = 19,814,776,150.54/160,870.16
  6. Step 6: Final answer
    x = 123,172.48

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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.