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Finding the Fourth Proportional to 229,261.32, 343,905.30 and 60,777.48

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Solution

The fourth proportional to 229,261.32, 343,905.30 and 60,777.48 is: 91,169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,261.32 : 343,905.30 = 60,777.48 : x
  2. Step 2: Convert to fraction form
    229,261.32/343,905.30 = 60,777.48/x
  3. Step 3: Cross multiply
    229,261.32x = 343,905.30 × 60,777.48
  4. Step 4: Simplify right side
    229,261.32x = 20,901,697,492.64
  5. Step 5: Solve for x
    x = 20,901,697,492.64/229,261.32
  6. Step 6: Final answer
    x = 91,169.75

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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.