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Finding the Fourth Proportional to 231,566.51, 347,301.16 and 65,315.63

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Solution

The fourth proportional to 231,566.51, 347,301.16 and 65,315.63 is: 97,959.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,566.51 : 347,301.16 = 65,315.63 : x
  2. Step 2: Convert to fraction form
    231,566.51/347,301.16 = 65,315.63/x
  3. Step 3: Cross multiply
    231,566.51x = 347,301.16 × 65,315.63
  4. Step 4: Simplify right side
    231,566.51x = 22,684,192,165.34
  5. Step 5: Solve for x
    x = 22,684,192,165.34/231,566.51
  6. Step 6: Final answer
    x = 97,959.73

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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.