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Finding the Fourth Proportional to 144,903.40, 217,355.10 and 97,664.20

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Solution

The fourth proportional to 144,903.40, 217,355.10 and 97,664.20 is: 146,496.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,903.40 : 217,355.10 = 97,664.20 : x
  2. Step 2: Convert to fraction form
    144,903.40/217,355.10 = 97,664.20/x
  3. Step 3: Cross multiply
    144,903.40x = 217,355.10 × 97,664.20
  4. Step 4: Simplify right side
    144,903.40x = 21,227,811,957.42
  5. Step 5: Solve for x
    x = 21,227,811,957.42/144,903.40
  6. Step 6: Final answer
    x = 146,496.30

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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.