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Finding the Fourth Proportional to 246,785.54, 370,197.54 and 78,315.46

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Solution

The fourth proportional to 246,785.54, 370,197.54 and 78,315.46 is: 117,479.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,785.54 : 370,197.54 = 78,315.46 : x
  2. Step 2: Convert to fraction form
    246,785.54/370,197.54 = 78,315.46/x
  3. Step 3: Cross multiply
    246,785.54x = 370,197.54 × 78,315.46
  4. Step 4: Simplify right side
    246,785.54x = 28,992,189,710.47
  5. Step 5: Solve for x
    x = 28,992,189,710.47/246,785.54
  6. Step 6: Final answer
    x = 117,479.29

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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.