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Finding the Fourth Proportional to 380,052.52, 570,160.04 and 140,167.04

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Solution

The fourth proportional to 380,052.52, 570,160.04 and 140,167.04 is: 210,280.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,052.52 : 570,160.04 = 140,167.04 : x
  2. Step 2: Convert to fraction form
    380,052.52/570,160.04 = 140,167.04/x
  3. Step 3: Cross multiply
    380,052.52x = 570,160.04 × 140,167.04
  4. Step 4: Simplify right side
    380,052.52x = 79,917,645,133.08
  5. Step 5: Solve for x
    x = 79,917,645,133.08/380,052.52
  6. Step 6: Final answer
    x = 210,280.53

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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.