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Finding the Fourth Proportional to 144,814.40, 217,221.60 and 97,812.80

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Solution

The fourth proportional to 144,814.40, 217,221.60 and 97,812.80 is: 146,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,814.40 : 217,221.60 = 97,812.80 : x
  2. Step 2: Convert to fraction form
    144,814.40/217,221.60 = 97,812.80/x
  3. Step 3: Cross multiply
    144,814.40x = 217,221.60 × 97,812.80
  4. Step 4: Simplify right side
    144,814.40x = 21,247,052,916.48
  5. Step 5: Solve for x
    x = 21,247,052,916.48/144,814.40
  6. Step 6: Final answer
    x = 146,719.20

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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.