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Finding the Fourth Proportional to 201,096.48, 301,683.58 and 76,427.76

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Solution

The fourth proportional to 201,096.48, 301,683.58 and 76,427.76 is: 114,656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,096.48 : 301,683.58 = 76,427.76 : x
  2. Step 2: Convert to fraction form
    201,096.48/301,683.58 = 76,427.76/x
  3. Step 3: Cross multiply
    201,096.48x = 301,683.58 × 76,427.76
  4. Step 4: Simplify right side
    201,096.48x = 23,057,000,248.18
  5. Step 5: Solve for x
    x = 23,057,000,248.18/201,096.48
  6. Step 6: Final answer
    x = 114,656.41

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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.