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Finding the Fourth Proportional to 201,097.66, 301,685.37 and 76,428.94

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Solution

The fourth proportional to 201,097.66, 301,685.37 and 76,428.94 is: 114,658.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,097.66 : 301,685.37 = 76,428.94 : x
  2. Step 2: Convert to fraction form
    201,097.66/301,685.37 = 76,428.94/x
  3. Step 3: Cross multiply
    201,097.66x = 301,685.37 × 76,428.94
  4. Step 4: Simplify right side
    201,097.66x = 23,057,492,001.79
  5. Step 5: Solve for x
    x = 23,057,492,001.79/201,097.66
  6. Step 6: Final answer
    x = 114,658.18

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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.