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Finding the Fourth Proportional to 231,014.80, 346,651.80 and 97,872.40

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Solution

The fourth proportional to 231,014.80, 346,651.80 and 97,872.40 is: 146,863.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,014.80 : 346,651.80 = 97,872.40 : x
  2. Step 2: Convert to fraction form
    231,014.80/346,651.80 = 97,872.40/x
  3. Step 3: Cross multiply
    231,014.80x = 346,651.80 × 97,872.40
  4. Step 4: Simplify right side
    231,014.80x = 33,927,643,630.32
  5. Step 5: Solve for x
    x = 33,927,643,630.32/231,014.80
  6. Step 6: Final answer
    x = 146,863.51

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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.