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Finding the Fourth Proportional to 186,616.17, 280,006.95 and 97,848.56

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Solution

The fourth proportional to 186,616.17, 280,006.95 and 97,848.56 is: 146,816.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,616.17 : 280,006.95 = 97,848.56 : x
  2. Step 2: Convert to fraction form
    186,616.17/280,006.95 = 97,848.56/x
  3. Step 3: Cross multiply
    186,616.17x = 280,006.95 × 97,848.56
  4. Step 4: Simplify right side
    186,616.17x = 27,398,275,447.46
  5. Step 5: Solve for x
    x = 27,398,275,447.46/186,616.17
  6. Step 6: Final answer
    x = 146,816.19

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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.