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Finding the Fourth Proportional to 165,101.40, 247,652.10 and 106,052.40

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Solution

The fourth proportional to 165,101.40, 247,652.10 and 106,052.40 is: 159,078.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,101.40 : 247,652.10 = 106,052.40 : x
  2. Step 2: Convert to fraction form
    165,101.40/247,652.10 = 106,052.40/x
  3. Step 3: Cross multiply
    165,101.40x = 247,652.10 × 106,052.40
  4. Step 4: Simplify right side
    165,101.40x = 26,264,099,570.04
  5. Step 5: Solve for x
    x = 26,264,099,570.04/165,101.40
  6. Step 6: Final answer
    x = 159,078.60

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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.