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Finding the Fourth Proportional to 106,638.76, 160,055.66 and 54,084.52

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Solution

The fourth proportional to 106,638.76, 160,055.66 and 54,084.52 is: 81,176.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,638.76 : 160,055.66 = 54,084.52 : x
  2. Step 2: Convert to fraction form
    106,638.76/160,055.66 = 54,084.52/x
  3. Step 3: Cross multiply
    106,638.76x = 160,055.66 × 54,084.52
  4. Step 4: Simplify right side
    106,638.76x = 8,656,533,544.38
  5. Step 5: Solve for x
    x = 8,656,533,544.38/106,638.76
  6. Step 6: Final answer
    x = 81,176.24

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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.