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Finding the Fourth Proportional to 111,202.60, 166,746.30 and 41,045.80

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Solution

The fourth proportional to 111,202.60, 166,746.30 and 41,045.80 is: 61,547.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,202.60 : 166,746.30 = 41,045.80 : x
  2. Step 2: Convert to fraction form
    111,202.60/166,746.30 = 41,045.80/x
  3. Step 3: Cross multiply
    111,202.60x = 166,746.30 × 41,045.80
  4. Step 4: Simplify right side
    111,202.60x = 6,844,235,280.54
  5. Step 5: Solve for x
    x = 6,844,235,280.54/111,202.60
  6. Step 6: Final answer
    x = 61,547.44

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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.