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Finding the Fourth Proportional to 229,064.90, 343,669.35 and 110,740.10

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Solution

The fourth proportional to 229,064.90, 343,669.35 and 110,740.10 is: 166,144.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,064.90 : 343,669.35 = 110,740.10 : x
  2. Step 2: Convert to fraction form
    229,064.90/343,669.35 = 110,740.10/x
  3. Step 3: Cross multiply
    229,064.90x = 343,669.35 × 110,740.10
  4. Step 4: Simplify right side
    229,064.90x = 38,057,978,185.94
  5. Step 5: Solve for x
    x = 38,057,978,185.94/229,064.90
  6. Step 6: Final answer
    x = 166,144.96

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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.