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Finding the Fourth Proportional to 229,200.51, 343,871.15 and 109,410.32

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Solution

The fourth proportional to 229,200.51, 343,871.15 and 109,410.32 is: 164,149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,200.51 : 343,871.15 = 109,410.32 : x
  2. Step 2: Convert to fraction form
    229,200.51/343,871.15 = 109,410.32/x
  3. Step 3: Cross multiply
    229,200.51x = 343,871.15 × 109,410.32
  4. Step 4: Simplify right side
    229,200.51x = 37,623,052,560.27
  5. Step 5: Solve for x
    x = 37,623,052,560.27/229,200.51
  6. Step 6: Final answer
    x = 164,149.08

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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.