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Finding the Fourth Proportional to 190,048.10, 285,035.70 and 56,932.70

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Solution

The fourth proportional to 190,048.10, 285,035.70 and 56,932.70 is: 85,388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,048.10 : 285,035.70 = 56,932.70 : x
  2. Step 2: Convert to fraction form
    190,048.10/285,035.70 = 56,932.70/x
  3. Step 3: Cross multiply
    190,048.10x = 285,035.70 × 56,932.70
  4. Step 4: Simplify right side
    190,048.10x = 16,227,851,997.39
  5. Step 5: Solve for x
    x = 16,227,851,997.39/190,048.10
  6. Step 6: Final answer
    x = 85,388.13

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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.