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Finding the Fourth Proportional to 217,096.40, 325,644.60 and 146,237.60

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Solution

The fourth proportional to 217,096.40, 325,644.60 and 146,237.60 is: 219,356.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,096.40 : 325,644.60 = 146,237.60 : x
  2. Step 2: Convert to fraction form
    217,096.40/325,644.60 = 146,237.60/x
  3. Step 3: Cross multiply
    217,096.40x = 325,644.60 × 146,237.60
  4. Step 4: Simplify right side
    217,096.40x = 47,621,484,756.96
  5. Step 5: Solve for x
    x = 47,621,484,756.96/217,096.40
  6. Step 6: Final answer
    x = 219,356.40

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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.