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Finding the Fourth Proportional to 160,903.30, 222,045.87 and 89,283.16

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Solution

The fourth proportional to 160,903.30, 222,045.87 and 89,283.16 is: 123,210.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,903.30 : 222,045.87 = 89,283.16 : x
  2. Step 2: Convert to fraction form
    160,903.30/222,045.87 = 89,283.16/x
  3. Step 3: Cross multiply
    160,903.30x = 222,045.87 × 89,283.16
  4. Step 4: Simplify right side
    160,903.30x = 19,824,956,938.55
  5. Step 5: Solve for x
    x = 19,824,956,938.55/160,903.30
  6. Step 6: Final answer
    x = 123,210.38

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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.