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Finding the Fourth Proportional to 106,862.40, 160,423.20 and 106,084.80

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Solution

The fourth proportional to 106,862.40, 160,423.20 and 106,084.80 is: 159,255.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,862.40 : 160,423.20 = 106,084.80 : x
  2. Step 2: Convert to fraction form
    106,862.40/160,423.20 = 106,084.80/x
  3. Step 3: Cross multiply
    106,862.40x = 160,423.20 × 106,084.80
  4. Step 4: Simplify right side
    106,862.40x = 17,018,463,087.36
  5. Step 5: Solve for x
    x = 17,018,463,087.36/106,862.40
  6. Step 6: Final answer
    x = 159,255.86

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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.