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Finding the Fourth Proportional to 201,196.78, 301,794.55 and 51,437.10

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Solution

The fourth proportional to 201,196.78, 301,794.55 and 51,437.10 is: 77,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,196.78 : 301,794.55 = 51,437.10 : x
  2. Step 2: Convert to fraction form
    201,196.78/301,794.55 = 51,437.10/x
  3. Step 3: Cross multiply
    201,196.78x = 301,794.55 × 51,437.10
  4. Step 4: Simplify right side
    201,196.78x = 15,523,436,447.81
  5. Step 5: Solve for x
    x = 15,523,436,447.81/201,196.78
  6. Step 6: Final answer
    x = 77,155.49

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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.