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Finding the Fourth Proportional to 231,562.90, 347,295.74 and 65,312.02

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Solution

The fourth proportional to 231,562.90, 347,295.74 and 65,312.02 is: 97,954.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,562.90 : 347,295.74 = 65,312.02 : x
  2. Step 2: Convert to fraction form
    231,562.90/347,295.74 = 65,312.02/x
  3. Step 3: Cross multiply
    231,562.90x = 347,295.74 × 65,312.02
  4. Step 4: Simplify right side
    231,562.90x = 22,682,585,021.89
  5. Step 5: Solve for x
    x = 22,682,585,021.89/231,562.90
  6. Step 6: Final answer
    x = 97,954.32

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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.