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Finding the Fourth Proportional to 160,902.88, 222,042.64 and 89,282.32

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Solution

The fourth proportional to 160,902.88, 222,042.64 and 89,282.32 is: 123,207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,902.88 : 222,042.64 = 89,282.32 : x
  2. Step 2: Convert to fraction form
    160,902.88/222,042.64 = 89,282.32/x
  3. Step 3: Cross multiply
    160,902.88x = 222,042.64 × 89,282.32
  4. Step 4: Simplify right side
    160,902.88x = 19,824,482,038.12
  5. Step 5: Solve for x
    x = 19,824,482,038.12/160,902.88
  6. Step 6: Final answer
    x = 123,207.75

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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.