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Finding the Fourth Proportional to 308,043.66, 462,082 and 97,698

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Solution

The fourth proportional to 308,043.66, 462,082 and 97,698 is: 146,552.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,043.66 : 462,082 = 97,698 : x
  2. Step 2: Convert to fraction form
    308,043.66/462,082 = 97,698/x
  3. Step 3: Cross multiply
    308,043.66x = 462,082 × 97,698
  4. Step 4: Simplify right side
    308,043.66x = 45,144,487,236
  5. Step 5: Solve for x
    x = 45,144,487,236/308,043.66
  6. Step 6: Final answer
    x = 146,552.24

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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.