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Finding the Fourth Proportional to 107,017.66, 160,511.10 and 74,899.20

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Solution

The fourth proportional to 107,017.66, 160,511.10 and 74,899.20 is: 112,338.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,017.66 : 160,511.10 = 74,899.20 : x
  2. Step 2: Convert to fraction form
    107,017.66/160,511.10 = 74,899.20/x
  3. Step 3: Cross multiply
    107,017.66x = 160,511.10 × 74,899.20
  4. Step 4: Simplify right side
    107,017.66x = 12,022,152,981.12
  5. Step 5: Solve for x
    x = 12,022,152,981.12/107,017.66
  6. Step 6: Final answer
    x = 112,338.03

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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.