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Finding the Fourth Proportional to 288,881.91, 398,655.68 and 161,558.01

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Solution

The fourth proportional to 288,881.91, 398,655.68 and 161,558.01 is: 222,949.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,881.91 : 398,655.68 = 161,558.01 : x
  2. Step 2: Convert to fraction form
    288,881.91/398,655.68 = 161,558.01/x
  3. Step 3: Cross multiply
    288,881.91x = 398,655.68 × 161,558.01
  4. Step 4: Simplify right side
    288,881.91x = 64,406,017,528.21
  5. Step 5: Solve for x
    x = 64,406,017,528.21/288,881.91
  6. Step 6: Final answer
    x = 222,949.29

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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.