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Finding the Fourth Proportional to 343,373.78, 514,897.23 and 106,719.86

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Solution

The fourth proportional to 343,373.78, 514,897.23 and 106,719.86 is: 160,028.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,373.78 : 514,897.23 = 106,719.86 : x
  2. Step 2: Convert to fraction form
    343,373.78/514,897.23 = 106,719.86/x
  3. Step 3: Cross multiply
    343,373.78x = 514,897.23 × 106,719.86
  4. Step 4: Simplify right side
    343,373.78x = 54,949,760,299.99
  5. Step 5: Solve for x
    x = 54,949,760,299.99/343,373.78
  6. Step 6: Final answer
    x = 160,028.99

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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.