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Finding the Fourth Proportional to 255,683.88, 383,581.18 and 97,912.34

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Solution

The fourth proportional to 255,683.88, 383,581.18 and 97,912.34 is: 146,889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,683.88 : 383,581.18 = 97,912.34 : x
  2. Step 2: Convert to fraction form
    255,683.88/383,581.18 = 97,912.34/x
  3. Step 3: Cross multiply
    255,683.88x = 383,581.18 × 97,912.34
  4. Step 4: Simplify right side
    255,683.88x = 37,557,330,913.76
  5. Step 5: Solve for x
    x = 37,557,330,913.76/255,683.88
  6. Step 6: Final answer
    x = 146,889.71

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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.