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Finding the Fourth Proportional to 106,159.17, 159,234.63 and 39,599.17

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Solution

The fourth proportional to 106,159.17, 159,234.63 and 39,599.17 is: 59,397.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,159.17 : 159,234.63 = 39,599.17 : x
  2. Step 2: Convert to fraction form
    106,159.17/159,234.63 = 39,599.17/x
  3. Step 3: Cross multiply
    106,159.17x = 159,234.63 × 39,599.17
  4. Step 4: Simplify right side
    106,159.17x = 6,305,559,183.26
  5. Step 5: Solve for x
    x = 6,305,559,183.26/106,159.17
  6. Step 6: Final answer
    x = 59,397.22

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1.5x scale

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.