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Finding the Fourth Proportional to 229,138.64, 343,301.28 and 95,725.28

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Solution

The fourth proportional to 229,138.64, 343,301.28 and 95,725.28 is: 143,418.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,138.64 : 343,301.28 = 95,725.28 : x
  2. Step 2: Convert to fraction form
    229,138.64/343,301.28 = 95,725.28/x
  3. Step 3: Cross multiply
    229,138.64x = 343,301.28 × 95,725.28
  4. Step 4: Simplify right side
    229,138.64x = 32,862,611,152.36
  5. Step 5: Solve for x
    x = 32,862,611,152.36/229,138.64
  6. Step 6: Final answer
    x = 143,418.02

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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.