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Finding the Fourth Proportional to 308,078.20, 462,165.90 and 97,737.40

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Solution

The fourth proportional to 308,078.20, 462,165.90 and 97,737.40 is: 146,621.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,078.20 : 462,165.90 = 97,737.40 : x
  2. Step 2: Convert to fraction form
    308,078.20/462,165.90 = 97,737.40/x
  3. Step 3: Cross multiply
    308,078.20x = 462,165.90 × 97,737.40
  4. Step 4: Simplify right side
    308,078.20x = 45,170,893,434.66
  5. Step 5: Solve for x
    x = 45,170,893,434.66/308,078.20
  6. Step 6: Final answer
    x = 146,621.52

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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.