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Finding the Fourth Proportional to 165,404.40, 248,106.60 and 148,815.60

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Solution

The fourth proportional to 165,404.40, 248,106.60 and 148,815.60 is: 223,223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,404.40 : 248,106.60 = 148,815.60 : x
  2. Step 2: Convert to fraction form
    165,404.40/248,106.60 = 148,815.60/x
  3. Step 3: Cross multiply
    165,404.40x = 248,106.60 × 148,815.60
  4. Step 4: Simplify right side
    165,404.40x = 36,922,132,542.96
  5. Step 5: Solve for x
    x = 36,922,132,542.96/165,404.40
  6. Step 6: Final answer
    x = 223,223.40

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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.