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Finding the Fourth Proportional to 229,578.17, 343,794.51 and 145,083.42

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Solution

The fourth proportional to 229,578.17, 343,794.51 and 145,083.42 is: 217,263.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,578.17 : 343,794.51 = 145,083.42 : x
  2. Step 2: Convert to fraction form
    229,578.17/343,794.51 = 145,083.42/x
  3. Step 3: Cross multiply
    229,578.17x = 343,794.51 × 145,083.42
  4. Step 4: Simplify right side
    229,578.17x = 49,878,883,288.02
  5. Step 5: Solve for x
    x = 49,878,883,288.02/229,578.17
  6. Step 6: Final answer
    x = 217,263.18

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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.