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Finding the Fourth Proportional to 106,918.80, 160,378.20 and 93,094.80

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Solution

The fourth proportional to 106,918.80, 160,378.20 and 93,094.80 is: 139,642.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,918.80 : 160,378.20 = 93,094.80 : x
  2. Step 2: Convert to fraction form
    106,918.80/160,378.20 = 93,094.80/x
  3. Step 3: Cross multiply
    106,918.80x = 160,378.20 × 93,094.80
  4. Step 4: Simplify right side
    106,918.80x = 14,930,376,453.36
  5. Step 5: Solve for x
    x = 14,930,376,453.36/106,918.80
  6. Step 6: Final answer
    x = 139,642.20

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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.