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Finding the Fourth Proportional to 231,913.67, 347,627.71 and 97,055.01

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Solution

The fourth proportional to 231,913.67, 347,627.71 and 97,055.01 is: 145,480.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,913.67 : 347,627.71 = 97,055.01 : x
  2. Step 2: Convert to fraction form
    231,913.67/347,627.71 = 97,055.01/x
  3. Step 3: Cross multiply
    231,913.67x = 347,627.71 × 97,055.01
  4. Step 4: Simplify right side
    231,913.67x = 33,739,008,889.55
  5. Step 5: Solve for x
    x = 33,739,008,889.55/231,913.67
  6. Step 6: Final answer
    x = 145,480.90

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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.