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Finding the Fourth Proportional to 160,980.30, 222,141.70 and 89,354.68

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Solution

The fourth proportional to 160,980.30, 222,141.70 and 89,354.68 is: 123,303.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,980.30 : 222,141.70 = 89,354.68 : x
  2. Step 2: Convert to fraction form
    160,980.30/222,141.70 = 89,354.68/x
  3. Step 3: Cross multiply
    160,980.30x = 222,141.70 × 89,354.68
  4. Step 4: Simplify right side
    160,980.30x = 19,849,400,071.38
  5. Step 5: Solve for x
    x = 19,849,400,071.38/160,980.30
  6. Step 6: Final answer
    x = 123,303.29

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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.