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Finding the Fourth Proportional to 165,603.40, 248,405.10 and 149,014.60

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Solution

The fourth proportional to 165,603.40, 248,405.10 and 149,014.60 is: 223,521.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,603.40 : 248,405.10 = 149,014.60 : x
  2. Step 2: Convert to fraction form
    165,603.40/248,405.10 = 149,014.60/x
  3. Step 3: Cross multiply
    165,603.40x = 248,405.10 × 149,014.60
  4. Step 4: Simplify right side
    165,603.40x = 37,015,986,614.46
  5. Step 5: Solve for x
    x = 37,015,986,614.46/165,603.40
  6. Step 6: Final answer
    x = 223,521.90

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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.