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Finding the Fourth Proportional to 229,251.61, 343,888.35 and 96,136.21

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Solution

The fourth proportional to 229,251.61, 343,888.35 and 96,136.21 is: 144,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,251.61 : 343,888.35 = 96,136.21 : x
  2. Step 2: Convert to fraction form
    229,251.61/343,888.35 = 96,136.21/x
  3. Step 3: Cross multiply
    229,251.61x = 343,888.35 × 96,136.21
  4. Step 4: Simplify right side
    229,251.61x = 33,060,122,632.15
  5. Step 5: Solve for x
    x = 33,060,122,632.15/229,251.61
  6. Step 6: Final answer
    x = 144,208.90

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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.