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Finding the Fourth Proportional to 106,971.66, 160,451.01 and 28,084.14

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Solution

The fourth proportional to 106,971.66, 160,451.01 and 28,084.14 is: 42,124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,971.66 : 160,451.01 = 28,084.14 : x
  2. Step 2: Convert to fraction form
    106,971.66/160,451.01 = 28,084.14/x
  3. Step 3: Cross multiply
    106,971.66x = 160,451.01 × 28,084.14
  4. Step 4: Simplify right side
    106,971.66x = 4,506,128,627.98
  5. Step 5: Solve for x
    x = 4,506,128,627.98/106,971.66
  6. Step 6: Final answer
    x = 42,124.51

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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.