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Finding the Fourth Proportional to 201,257.96, 301,897.22 and 51,499.53

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Solution

The fourth proportional to 201,257.96, 301,897.22 and 51,499.53 is: 77,251.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,257.96 : 301,897.22 = 51,499.53 : x
  2. Step 2: Convert to fraction form
    201,257.96/301,897.22 = 51,499.53/x
  3. Step 3: Cross multiply
    201,257.96x = 301,897.22 × 51,499.53
  4. Step 4: Simplify right side
    201,257.96x = 15,547,564,680.81
  5. Step 5: Solve for x
    x = 15,547,564,680.81/201,257.96
  6. Step 6: Final answer
    x = 77,251.93

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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.