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Finding the Fourth Proportional to 201,427.76, 302,098.44 and 83,068.40

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Solution

The fourth proportional to 201,427.76, 302,098.44 and 83,068.40 is: 124,584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,427.76 : 302,098.44 = 83,068.40 : x
  2. Step 2: Convert to fraction form
    201,427.76/302,098.44 = 83,068.40/x
  3. Step 3: Cross multiply
    201,427.76x = 302,098.44 × 83,068.40
  4. Step 4: Simplify right side
    201,427.76x = 25,094,834,053.30
  5. Step 5: Solve for x
    x = 25,094,834,053.30/201,427.76
  6. Step 6: Final answer
    x = 124,584.78

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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.