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Finding the Fourth Proportional to 252,078.40, 378,117.60 and 168,097.60

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Solution

The fourth proportional to 252,078.40, 378,117.60 and 168,097.60 is: 252,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,078.40 : 378,117.60 = 168,097.60 : x
  2. Step 2: Convert to fraction form
    252,078.40/378,117.60 = 168,097.60/x
  3. Step 3: Cross multiply
    252,078.40x = 378,117.60 × 168,097.60
  4. Step 4: Simplify right side
    252,078.40x = 63,560,661,077.76
  5. Step 5: Solve for x
    x = 63,560,661,077.76/252,078.40
  6. Step 6: Final answer
    x = 252,146.40

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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.