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Finding the Fourth Proportional to 231,563.60, 347,296.80 and 65,312.72

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Solution

The fourth proportional to 231,563.60, 347,296.80 and 65,312.72 is: 97,955.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,563.60 : 347,296.80 = 65,312.72 : x
  2. Step 2: Convert to fraction form
    231,563.60/347,296.80 = 65,312.72/x
  3. Step 3: Cross multiply
    231,563.60x = 347,296.80 × 65,312.72
  4. Step 4: Simplify right side
    231,563.60x = 22,682,898,098.71
  5. Step 5: Solve for x
    x = 22,682,898,098.71/231,563.60
  6. Step 6: Final answer
    x = 97,955.37

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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.