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Finding the Fourth Proportional to 106,881.93, 160,051.68 and 64,160.78

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Solution

The fourth proportional to 106,881.93, 160,051.68 and 64,160.78 is: 96,078.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,881.93 : 160,051.68 = 64,160.78 : x
  2. Step 2: Convert to fraction form
    106,881.93/160,051.68 = 64,160.78/x
  3. Step 3: Cross multiply
    106,881.93x = 160,051.68 × 64,160.78
  4. Step 4: Simplify right side
    106,881.93x = 10,269,039,828.85
  5. Step 5: Solve for x
    x = 10,269,039,828.85/106,881.93
  6. Step 6: Final answer
    x = 96,078.35

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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.