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Finding the Fourth Proportional to 230,119.34, 345,303.02 and 97,091.78

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Solution

The fourth proportional to 230,119.34, 345,303.02 and 97,091.78 is: 145,689.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,119.34 : 345,303.02 = 97,091.78 : x
  2. Step 2: Convert to fraction form
    230,119.34/345,303.02 = 97,091.78/x
  3. Step 3: Cross multiply
    230,119.34x = 345,303.02 × 97,091.78
  4. Step 4: Simplify right side
    230,119.34x = 33,526,083,367.39
  5. Step 5: Solve for x
    x = 33,526,083,367.39/230,119.34
  6. Step 6: Final answer
    x = 145,689.99

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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.