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Finding the Fourth Proportional to 201,113.86, 301,398.63 and 76,386.82

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Solution

The fourth proportional to 201,113.86, 301,398.63 and 76,386.82 is: 114,476.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,113.86 : 301,398.63 = 76,386.82 : x
  2. Step 2: Convert to fraction form
    201,113.86/301,398.63 = 76,386.82/x
  3. Step 3: Cross multiply
    201,113.86x = 301,398.63 × 76,386.82
  4. Step 4: Simplify right side
    201,113.86x = 23,022,882,898.06
  5. Step 5: Solve for x
    x = 23,022,882,898.06/201,113.86
  6. Step 6: Final answer
    x = 114,476.86

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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.