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Finding the Fourth Proportional to 230,790.26, 346,221.84 and 97,671.22

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Solution

The fourth proportional to 230,790.26, 346,221.84 and 97,671.22 is: 146,522.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,790.26 : 346,221.84 = 97,671.22 : x
  2. Step 2: Convert to fraction form
    230,790.26/346,221.84 = 97,671.22/x
  3. Step 3: Cross multiply
    230,790.26x = 346,221.84 × 97,671.22
  4. Step 4: Simplify right side
    230,790.26x = 33,815,909,004.16
  5. Step 5: Solve for x
    x = 33,815,909,004.16/230,790.26
  6. Step 6: Final answer
    x = 146,522.25

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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.