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Finding the Fourth Proportional to 298,695.40, 448,122.30 and 130,143.40

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Solution

The fourth proportional to 298,695.40, 448,122.30 and 130,143.40 is: 195,249.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,695.40 : 448,122.30 = 130,143.40 : x
  2. Step 2: Convert to fraction form
    298,695.40/448,122.30 = 130,143.40/x
  3. Step 3: Cross multiply
    298,695.40x = 448,122.30 × 130,143.40
  4. Step 4: Simplify right side
    298,695.40x = 58,320,159,737.82
  5. Step 5: Solve for x
    x = 58,320,159,737.82/298,695.40
  6. Step 6: Final answer
    x = 195,249.61

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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.