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Finding the Fourth Proportional to 322,154.19, 483,228.21 and 195,829.32

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Solution

The fourth proportional to 322,154.19, 483,228.21 and 195,829.32 is: 293,742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,154.19 : 483,228.21 = 195,829.32 : x
  2. Step 2: Convert to fraction form
    322,154.19/483,228.21 = 195,829.32/x
  3. Step 3: Cross multiply
    322,154.19x = 483,228.21 × 195,829.32
  4. Step 4: Simplify right side
    322,154.19x = 94,630,251,769.12
  5. Step 5: Solve for x
    x = 94,630,251,769.12/322,154.19
  6. Step 6: Final answer
    x = 293,742.11

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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.