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Finding the Fourth Proportional to 211,289.44, 316,954.32 and 59,486.08

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Solution

The fourth proportional to 211,289.44, 316,954.32 and 59,486.08 is: 89,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,289.44 : 316,954.32 = 59,486.08 : x
  2. Step 2: Convert to fraction form
    211,289.44/316,954.32 = 59,486.08/x
  3. Step 3: Cross multiply
    211,289.44x = 316,954.32 × 59,486.08
  4. Step 4: Simplify right side
    211,289.44x = 18,854,370,035.87
  5. Step 5: Solve for x
    x = 18,854,370,035.87/211,289.44
  6. Step 6: Final answer
    x = 89,234.80

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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.