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Finding the Fourth Proportional to 211,603.88, 317,407.68 and 53,832.50

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Solution

The fourth proportional to 211,603.88, 317,407.68 and 53,832.50 is: 80,749.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,603.88 : 317,407.68 = 53,832.50 : x
  2. Step 2: Convert to fraction form
    211,603.88/317,407.68 = 53,832.50/x
  3. Step 3: Cross multiply
    211,603.88x = 317,407.68 × 53,832.50
  4. Step 4: Simplify right side
    211,603.88x = 17,086,848,933.60
  5. Step 5: Solve for x
    x = 17,086,848,933.60/211,603.88
  6. Step 6: Final answer
    x = 80,749.22

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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.