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Finding the Fourth Proportional to 139,664.20, 209,496.30 and 97,673.80

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Solution

The fourth proportional to 139,664.20, 209,496.30 and 97,673.80 is: 146,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,664.20 : 209,496.30 = 97,673.80 : x
  2. Step 2: Convert to fraction form
    139,664.20/209,496.30 = 97,673.80/x
  3. Step 3: Cross multiply
    139,664.20x = 209,496.30 × 97,673.80
  4. Step 4: Simplify right side
    139,664.20x = 20,462,299,706.94
  5. Step 5: Solve for x
    x = 20,462,299,706.94/139,664.20
  6. Step 6: Final answer
    x = 146,510.70

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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.