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Finding the Fourth Proportional to 308,193.30, 462,370.95 and 97,830.90

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Solution

The fourth proportional to 308,193.30, 462,370.95 and 97,830.90 is: 146,772.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,193.30 : 462,370.95 = 97,830.90 : x
  2. Step 2: Convert to fraction form
    308,193.30/462,370.95 = 97,830.90/x
  3. Step 3: Cross multiply
    308,193.30x = 462,370.95 × 97,830.90
  4. Step 4: Simplify right side
    308,193.30x = 45,234,166,172.36
  5. Step 5: Solve for x
    x = 45,234,166,172.36/308,193.30
  6. Step 6: Final answer
    x = 146,772.06

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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.