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Finding the Fourth Proportional to 380,100.48, 569,990.08 and 113,898.88

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Solution

The fourth proportional to 380,100.48, 569,990.08 and 113,898.88 is: 170,800.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,100.48 : 569,990.08 = 113,898.88 : x
  2. Step 2: Convert to fraction form
    380,100.48/569,990.08 = 113,898.88/x
  3. Step 3: Cross multiply
    380,100.48x = 569,990.08 × 113,898.88
  4. Step 4: Simplify right side
    380,100.48x = 64,921,231,723.11
  5. Step 5: Solve for x
    x = 64,921,231,723.11/380,100.48
  6. Step 6: Final answer
    x = 170,800.18

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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.