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Finding the Fourth Proportional to 201,266.40, 301,856.40 and 88,946.40

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Solution

The fourth proportional to 201,266.40, 301,856.40 and 88,946.40 is: 133,400.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,266.40 : 301,856.40 = 88,946.40 : x
  2. Step 2: Convert to fraction form
    201,266.40/301,856.40 = 88,946.40/x
  3. Step 3: Cross multiply
    201,266.40x = 301,856.40 × 88,946.40
  4. Step 4: Simplify right side
    201,266.40x = 26,849,040,096.96
  5. Step 5: Solve for x
    x = 26,849,040,096.96/201,266.40
  6. Step 6: Final answer
    x = 133,400.51

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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.