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Finding the Fourth Proportional to 201,703.25, 302,347.28 and 89,436.34

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Solution

The fourth proportional to 201,703.25, 302,347.28 and 89,436.34 is: 134,062.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,703.25 : 302,347.28 = 89,436.34 : x
  2. Step 2: Convert to fraction form
    201,703.25/302,347.28 = 89,436.34/x
  3. Step 3: Cross multiply
    201,703.25x = 302,347.28 × 89,436.34
  4. Step 4: Simplify right side
    201,703.25x = 27,040,834,308.50
  5. Step 5: Solve for x
    x = 27,040,834,308.50/201,703.25
  6. Step 6: Final answer
    x = 134,062.46

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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.