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Finding the Fourth Proportional to 116,586, 160,888.68 and 63,594

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Solution

The fourth proportional to 116,586, 160,888.68 and 63,594 is: 87,759.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,586 : 160,888.68 = 63,594 : x
  2. Step 2: Convert to fraction form
    116,586/160,888.68 = 63,594/x
  3. Step 3: Cross multiply
    116,586x = 160,888.68 × 63,594
  4. Step 4: Simplify right side
    116,586x = 10,231,554,715.92
  5. Step 5: Solve for x
    x = 10,231,554,715.92/116,586
  6. Step 6: Final answer
    x = 87,759.72

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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.