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Finding the Fourth Proportional to 235,864.40, 353,796.60 and 161,214.80

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Solution

The fourth proportional to 235,864.40, 353,796.60 and 161,214.80 is: 241,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,864.40 : 353,796.60 = 161,214.80 : x
  2. Step 2: Convert to fraction form
    235,864.40/353,796.60 = 161,214.80/x
  3. Step 3: Cross multiply
    235,864.40x = 353,796.60 × 161,214.80
  4. Step 4: Simplify right side
    235,864.40x = 57,037,248,109.68
  5. Step 5: Solve for x
    x = 57,037,248,109.68/235,864.40
  6. Step 6: Final answer
    x = 241,822.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.