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Finding the Fourth Proportional to 102,753.91, 154,130.14 and 52,847.92

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Solution

The fourth proportional to 102,753.91, 154,130.14 and 52,847.92 is: 79,271.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,753.91 : 154,130.14 = 52,847.92 : x
  2. Step 2: Convert to fraction form
    102,753.91/154,130.14 = 52,847.92/x
  3. Step 3: Cross multiply
    102,753.91x = 154,130.14 × 52,847.92
  4. Step 4: Simplify right side
    102,753.91x = 8,145,457,308.31
  5. Step 5: Solve for x
    x = 8,145,457,308.31/102,753.91
  6. Step 6: Final answer
    x = 79,271.51

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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.