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Finding the Fourth Proportional to 229,860, 344,724.66 and 96,770.52

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Solution

The fourth proportional to 229,860, 344,724.66 and 96,770.52 is: 145,128.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,860 : 344,724.66 = 96,770.52 : x
  2. Step 2: Convert to fraction form
    229,860/344,724.66 = 96,770.52/x
  3. Step 3: Cross multiply
    229,860x = 344,724.66 × 96,770.52
  4. Step 4: Simplify right side
    229,860x = 33,359,184,605.02
  5. Step 5: Solve for x
    x = 33,359,184,605.02/229,860
  6. Step 6: Final answer
    x = 145,128.27

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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.