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Finding the Fourth Proportional to 109,643.80, 151,308.43 and 59,342.80

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Solution

The fourth proportional to 109,643.80, 151,308.43 and 59,342.80 is: 81,893.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,643.80 : 151,308.43 = 59,342.80 : x
  2. Step 2: Convert to fraction form
    109,643.80/151,308.43 = 59,342.80/x
  3. Step 3: Cross multiply
    109,643.80x = 151,308.43 × 59,342.80
  4. Step 4: Simplify right side
    109,643.80x = 8,979,066,249.34
  5. Step 5: Solve for x
    x = 8,979,066,249.34/109,643.80
  6. Step 6: Final answer
    x = 81,893.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.