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Finding the Fourth Proportional to 213,984.48, 320,978.32 and 56,212.64

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Solution

The fourth proportional to 213,984.48, 320,978.32 and 56,212.64 is: 84,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,984.48 : 320,978.32 = 56,212.64 : x
  2. Step 2: Convert to fraction form
    213,984.48/320,978.32 = 56,212.64/x
  3. Step 3: Cross multiply
    213,984.48x = 320,978.32 × 56,212.64
  4. Step 4: Simplify right side
    213,984.48x = 18,043,038,749.96
  5. Step 5: Solve for x
    x = 18,043,038,749.96/213,984.48
  6. Step 6: Final answer
    x = 84,319.38

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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.