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Finding the Fourth Proportional to 230,287.44, 345,477.72 and 97,168.02

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Solution

The fourth proportional to 230,287.44, 345,477.72 and 97,168.02 is: 145,771.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,287.44 : 345,477.72 = 97,168.02 : x
  2. Step 2: Convert to fraction form
    230,287.44/345,477.72 = 97,168.02/x
  3. Step 3: Cross multiply
    230,287.44x = 345,477.72 × 97,168.02
  4. Step 4: Simplify right side
    230,287.44x = 33,569,386,006.51
  5. Step 5: Solve for x
    x = 33,569,386,006.51/230,287.44
  6. Step 6: Final answer
    x = 145,771.68

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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.