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Finding the Fourth Proportional to 153,796.86, 230,371.02 and 97,607.34

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Solution

The fourth proportional to 153,796.86, 230,371.02 and 97,607.34 is: 146,205.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,796.86 : 230,371.02 = 97,607.34 : x
  2. Step 2: Convert to fraction form
    153,796.86/230,371.02 = 97,607.34/x
  3. Step 3: Cross multiply
    153,796.86x = 230,371.02 × 97,607.34
  4. Step 4: Simplify right side
    153,796.86x = 22,485,902,475.29
  5. Step 5: Solve for x
    x = 22,485,902,475.29/153,796.86
  6. Step 6: Final answer
    x = 146,205.21

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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.