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Finding the Fourth Proportional to 231,833.76, 347,696.10 and 63,314.07

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Solution

The fourth proportional to 231,833.76, 347,696.10 and 63,314.07 is: 94,956.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,833.76 : 347,696.10 = 63,314.07 : x
  2. Step 2: Convert to fraction form
    231,833.76/347,696.10 = 63,314.07/x
  3. Step 3: Cross multiply
    231,833.76x = 347,696.10 × 63,314.07
  4. Step 4: Simplify right side
    231,833.76x = 22,014,055,214.13
  5. Step 5: Solve for x
    x = 22,014,055,214.13/231,833.76
  6. Step 6: Final answer
    x = 94,956.21

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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.