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Finding the Fourth Proportional to 204,350.94, 282,001.59 and 114,926.94

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Solution

The fourth proportional to 204,350.94, 282,001.59 and 114,926.94 is: 158,597.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,350.94 : 282,001.59 = 114,926.94 : x
  2. Step 2: Convert to fraction form
    204,350.94/282,001.59 = 114,926.94/x
  3. Step 3: Cross multiply
    204,350.94x = 282,001.59 × 114,926.94
  4. Step 4: Simplify right side
    204,350.94x = 32,409,579,813.83
  5. Step 5: Solve for x
    x = 32,409,579,813.83/204,350.94
  6. Step 6: Final answer
    x = 158,597.65

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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.