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Finding the Fourth Proportional to 116,586, 160,888.68 and 66,285

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Solution

The fourth proportional to 116,586, 160,888.68 and 66,285 is: 91,473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,586 : 160,888.68 = 66,285 : x
  2. Step 2: Convert to fraction form
    116,586/160,888.68 = 66,285/x
  3. Step 3: Cross multiply
    116,586x = 160,888.68 × 66,285
  4. Step 4: Simplify right side
    116,586x = 10,664,506,153.80
  5. Step 5: Solve for x
    x = 10,664,506,153.80/116,586
  6. Step 6: Final answer
    x = 91,473.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.