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Finding the Fourth Proportional to 230,300.44, 345,497.28 and 97,181.02

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Solution

The fourth proportional to 230,300.44, 345,497.28 and 97,181.02 is: 145,791.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,300.44 : 345,497.28 = 97,181.02 : x
  2. Step 2: Convert to fraction form
    230,300.44/345,497.28 = 97,181.02/x
  3. Step 3: Cross multiply
    230,300.44x = 345,497.28 × 97,181.02
  4. Step 4: Simplify right side
    230,300.44x = 33,575,778,077.63
  5. Step 5: Solve for x
    x = 33,575,778,077.63/230,300.44
  6. Step 6: Final answer
    x = 145,791.20

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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.