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Finding the Fourth Proportional to 204,492.83, 282,194.60 and 113,848.83

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Solution

The fourth proportional to 204,492.83, 282,194.60 and 113,848.83 is: 157,108.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,492.83 : 282,194.60 = 113,848.83 : x
  2. Step 2: Convert to fraction form
    204,492.83/282,194.60 = 113,848.83/x
  3. Step 3: Cross multiply
    204,492.83x = 282,194.60 × 113,848.83
  4. Step 4: Simplify right side
    204,492.83x = 32,127,524,473.07
  5. Step 5: Solve for x
    x = 32,127,524,473.07/204,492.83
  6. Step 6: Final answer
    x = 157,108.32

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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.