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Finding the Fourth Proportional to 109,887.64, 164,899.14 and 43,316.44

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Solution

The fourth proportional to 109,887.64, 164,899.14 and 43,316.44 is: 65,001.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,887.64 : 164,899.14 = 43,316.44 : x
  2. Step 2: Convert to fraction form
    109,887.64/164,899.14 = 43,316.44/x
  3. Step 3: Cross multiply
    109,887.64x = 164,899.14 × 43,316.44
  4. Step 4: Simplify right side
    109,887.64x = 7,142,843,703.86
  5. Step 5: Solve for x
    x = 7,142,843,703.86/109,887.64
  6. Step 6: Final answer
    x = 65,001.34

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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.