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Finding the Fourth Proportional to 229,162.88, 343,753.64 and 109,158.14

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Solution

The fourth proportional to 229,162.88, 343,753.64 and 109,158.14 is: 163,741.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,162.88 : 343,753.64 = 109,158.14 : x
  2. Step 2: Convert to fraction form
    229,162.88/343,753.64 = 109,158.14/x
  3. Step 3: Cross multiply
    229,162.88x = 343,753.64 × 109,158.14
  4. Step 4: Simplify right side
    229,162.88x = 37,523,505,696.07
  5. Step 5: Solve for x
    x = 37,523,505,696.07/229,162.88
  6. Step 6: Final answer
    x = 163,741.64

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1.5x scale

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.