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Finding the Fourth Proportional to 289,066.50, 398,931.30 and 161,753.94

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Solution

The fourth proportional to 289,066.50, 398,931.30 and 161,753.94 is: 223,231.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,066.50 : 398,931.30 = 161,753.94 : x
  2. Step 2: Convert to fraction form
    289,066.50/398,931.30 = 161,753.94/x
  3. Step 3: Cross multiply
    289,066.50x = 398,931.30 × 161,753.94
  4. Step 4: Simplify right side
    289,066.50x = 64,528,709,564.32
  5. Step 5: Solve for x
    x = 64,528,709,564.32/289,066.50
  6. Step 6: Final answer
    x = 223,231.37

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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.