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Finding the Fourth Proportional to 201,248.53, 301,883.12 and 51,490.11

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Solution

The fourth proportional to 201,248.53, 301,883.12 and 51,490.11 is: 77,237.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,248.53 : 301,883.12 = 51,490.11 : x
  2. Step 2: Convert to fraction form
    201,248.53/301,883.12 = 51,490.11/x
  3. Step 3: Cross multiply
    201,248.53x = 301,883.12 × 51,490.11
  4. Step 4: Simplify right side
    201,248.53x = 15,543,995,055.94
  5. Step 5: Solve for x
    x = 15,543,995,055.94/201,248.53
  6. Step 6: Final answer
    x = 77,237.81

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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.