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Finding the Fourth Proportional to 229,188.64, 343,468.68 and 172,981.12

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Solution

The fourth proportional to 229,188.64, 343,468.68 and 172,981.12 is: 259,234.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,188.64 : 343,468.68 = 172,981.12 : x
  2. Step 2: Convert to fraction form
    229,188.64/343,468.68 = 172,981.12/x
  3. Step 3: Cross multiply
    229,188.64x = 343,468.68 × 172,981.12
  4. Step 4: Simplify right side
    229,188.64x = 59,413,596,951.32
  5. Step 5: Solve for x
    x = 59,413,596,951.32/229,188.64
  6. Step 6: Final answer
    x = 259,234.48

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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.