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Finding the Fourth Proportional to 166,220.40, 233,299.05 and 166,220.40

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Solution

The fourth proportional to 166,220.40, 233,299.05 and 166,220.40 is: 233,299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,220.40 : 233,299.05 = 166,220.40 : x
  2. Step 2: Convert to fraction form
    166,220.40/233,299.05 = 166,220.40/x
  3. Step 3: Cross multiply
    166,220.40x = 233,299.05 × 166,220.40
  4. Step 4: Simplify right side
    166,220.40x = 38,779,061,410.62
  5. Step 5: Solve for x
    x = 38,779,061,410.62/166,220.40
  6. Step 6: Final answer
    x = 233,299.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.