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Finding the Fourth Proportional to 162,067.50, 243,102.33 and 51,259.50

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Solution

The fourth proportional to 162,067.50, 243,102.33 and 51,259.50 is: 76,889.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,067.50 : 243,102.33 = 51,259.50 : x
  2. Step 2: Convert to fraction form
    162,067.50/243,102.33 = 51,259.50/x
  3. Step 3: Cross multiply
    162,067.50x = 243,102.33 × 51,259.50
  4. Step 4: Simplify right side
    162,067.50x = 12,461,303,884.64
  5. Step 5: Solve for x
    x = 12,461,303,884.64/162,067.50
  6. Step 6: Final answer
    x = 76,889.59

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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.