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Finding the Fourth Proportional to 230,506.56, 345,520.08 and 97,275.60

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Solution

The fourth proportional to 230,506.56, 345,520.08 and 97,275.60 is: 145,812.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,506.56 : 345,520.08 = 97,275.60 : x
  2. Step 2: Convert to fraction form
    230,506.56/345,520.08 = 97,275.60/x
  3. Step 3: Cross multiply
    230,506.56x = 345,520.08 × 97,275.60
  4. Step 4: Simplify right side
    230,506.56x = 33,610,673,094.05
  5. Step 5: Solve for x
    x = 33,610,673,094.05/230,506.56
  6. Step 6: Final answer
    x = 145,812.22

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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.