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Finding the Fourth Proportional to 141,231.71, 211,844.82 and 56,989.64

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Solution

The fourth proportional to 141,231.71, 211,844.82 and 56,989.64 is: 85,483.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,231.71 : 211,844.82 = 56,989.64 : x
  2. Step 2: Convert to fraction form
    141,231.71/211,844.82 = 56,989.64/x
  3. Step 3: Cross multiply
    141,231.71x = 211,844.82 × 56,989.64
  4. Step 4: Simplify right side
    141,231.71x = 12,072,960,027.66
  5. Step 5: Solve for x
    x = 12,072,960,027.66/141,231.71
  6. Step 6: Final answer
    x = 85,483.35

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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.