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Finding the Fourth Proportional to 308,083.80, 462,125.70 and 97,738.20

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Solution

The fourth proportional to 308,083.80, 462,125.70 and 97,738.20 is: 146,607.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,083.80 : 462,125.70 = 97,738.20 : x
  2. Step 2: Convert to fraction form
    308,083.80/462,125.70 = 97,738.20/x
  3. Step 3: Cross multiply
    308,083.80x = 462,125.70 × 97,738.20
  4. Step 4: Simplify right side
    308,083.80x = 45,167,334,091.74
  5. Step 5: Solve for x
    x = 45,167,334,091.74/308,083.80
  6. Step 6: Final answer
    x = 146,607.30

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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.