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Finding the Fourth Proportional to 106,159.80, 159,214.08 and 31,259.58

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Solution

The fourth proportional to 106,159.80, 159,214.08 and 31,259.58 is: 46,881.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,159.80 : 159,214.08 = 31,259.58 : x
  2. Step 2: Convert to fraction form
    106,159.80/159,214.08 = 31,259.58/x
  3. Step 3: Cross multiply
    106,159.80x = 159,214.08 × 31,259.58
  4. Step 4: Simplify right side
    106,159.80x = 4,976,965,270.89
  5. Step 5: Solve for x
    x = 4,976,965,270.89/106,159.80
  6. Step 6: Final answer
    x = 46,881.83

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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.