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Finding the Fourth Proportional to 308,047.10, 462,027.45 and 97,706.30

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Solution

The fourth proportional to 308,047.10, 462,027.45 and 97,706.30 is: 146,545.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,047.10 : 462,027.45 = 97,706.30 : x
  2. Step 2: Convert to fraction form
    308,047.10/462,027.45 = 97,706.30/x
  3. Step 3: Cross multiply
    308,047.10x = 462,027.45 × 97,706.30
  4. Step 4: Simplify right side
    308,047.10x = 45,142,992,637.94
  5. Step 5: Solve for x
    x = 45,142,992,637.94/308,047.10
  6. Step 6: Final answer
    x = 146,545.75

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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.