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Finding the Fourth Proportional to 230,978.70, 346,419.45 and 97,863.30

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Solution

The fourth proportional to 230,978.70, 346,419.45 and 97,863.30 is: 146,774.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,978.70 : 346,419.45 = 97,863.30 : x
  2. Step 2: Convert to fraction form
    230,978.70/346,419.45 = 97,863.30/x
  3. Step 3: Cross multiply
    230,978.70x = 346,419.45 × 97,863.30
  4. Step 4: Simplify right side
    230,978.70x = 33,901,750,561.19
  5. Step 5: Solve for x
    x = 33,901,750,561.19/230,978.70
  6. Step 6: Final answer
    x = 146,774.36

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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.