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Finding the Fourth Proportional to 161,106.96, 222,295.32 and 89,477.04

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Solution

The fourth proportional to 161,106.96, 222,295.32 and 89,477.04 is: 123,460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,106.96 : 222,295.32 = 89,477.04 : x
  2. Step 2: Convert to fraction form
    161,106.96/222,295.32 = 89,477.04/x
  3. Step 3: Cross multiply
    161,106.96x = 222,295.32 × 89,477.04
  4. Step 4: Simplify right side
    161,106.96x = 19,890,327,239.45
  5. Step 5: Solve for x
    x = 19,890,327,239.45/161,106.96
  6. Step 6: Final answer
    x = 123,460.38

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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.