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Finding the Fourth Proportional to 106,675.83, 160,013.16 and 43,495.70

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Solution

The fourth proportional to 106,675.83, 160,013.16 and 43,495.70 is: 65,243.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,675.83 : 160,013.16 = 43,495.70 : x
  2. Step 2: Convert to fraction form
    106,675.83/160,013.16 = 43,495.70/x
  3. Step 3: Cross multiply
    106,675.83x = 160,013.16 × 43,495.70
  4. Step 4: Simplify right side
    106,675.83x = 6,959,884,403.41
  5. Step 5: Solve for x
    x = 6,959,884,403.41/106,675.83
  6. Step 6: Final answer
    x = 65,243.31

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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.