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Finding the Fourth Proportional to 161,509.74, 222,883.21 and 89,888.05

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Solution

The fourth proportional to 161,509.74, 222,883.21 and 89,888.05 is: 124,045.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,509.74 : 222,883.21 = 89,888.05 : x
  2. Step 2: Convert to fraction form
    161,509.74/222,883.21 = 89,888.05/x
  3. Step 3: Cross multiply
    161,509.74x = 222,883.21 × 89,888.05
  4. Step 4: Simplify right side
    161,509.74x = 20,034,537,124.64
  5. Step 5: Solve for x
    x = 20,034,537,124.64/161,509.74
  6. Step 6: Final answer
    x = 124,045.38

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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.