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Finding the Fourth Proportional to 200,853.27, 301,330.53 and 141,804.27

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Solution

The fourth proportional to 200,853.27, 301,330.53 and 141,804.27 is: 212,742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,853.27 : 301,330.53 = 141,804.27 : x
  2. Step 2: Convert to fraction form
    200,853.27/301,330.53 = 141,804.27/x
  3. Step 3: Cross multiply
    200,853.27x = 301,330.53 × 141,804.27
  4. Step 4: Simplify right side
    200,853.27x = 42,729,955,835.36
  5. Step 5: Solve for x
    x = 42,729,955,835.36/200,853.27
  6. Step 6: Final answer
    x = 212,742.15

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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.