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Finding the Fourth Proportional to 354,786.48, 532,249.72 and 130,148.98

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Solution

The fourth proportional to 354,786.48, 532,249.72 and 130,148.98 is: 195,249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,786.48 : 532,249.72 = 130,148.98 : x
  2. Step 2: Convert to fraction form
    354,786.48/532,249.72 = 130,148.98/x
  3. Step 3: Cross multiply
    354,786.48x = 532,249.72 × 130,148.98
  4. Step 4: Simplify right side
    354,786.48x = 69,271,756,507.29
  5. Step 5: Solve for x
    x = 69,271,756,507.29/354,786.48
  6. Step 6: Final answer
    x = 195,249.14

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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.