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Finding the Fourth Proportional to 190,004.40, 284,828.40 and 71,755.20

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Solution

The fourth proportional to 190,004.40, 284,828.40 and 71,755.20 is: 107,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,004.40 : 284,828.40 = 71,755.20 : x
  2. Step 2: Convert to fraction form
    190,004.40/284,828.40 = 71,755.20/x
  3. Step 3: Cross multiply
    190,004.40x = 284,828.40 × 71,755.20
  4. Step 4: Simplify right side
    190,004.40x = 20,437,918,807.68
  5. Step 5: Solve for x
    x = 20,437,918,807.68/190,004.40
  6. Step 6: Final answer
    x = 107,565.50

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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.