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Finding the Fourth Proportional to 190,024.40, 284,858.40 and 71,775.20

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Solution

The fourth proportional to 190,024.40, 284,858.40 and 71,775.20 is: 107,595.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,024.40 : 284,858.40 = 71,775.20 : x
  2. Step 2: Convert to fraction form
    190,024.40/284,858.40 = 71,775.20/x
  3. Step 3: Cross multiply
    190,024.40x = 284,858.40 × 71,775.20
  4. Step 4: Simplify right side
    190,024.40x = 20,445,768,631.68
  5. Step 5: Solve for x
    x = 20,445,768,631.68/190,024.40
  6. Step 6: Final answer
    x = 107,595.49

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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.