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Finding the Fourth Proportional to 164,909.40, 231,573 and 164,909.40

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Solution

The fourth proportional to 164,909.40, 231,573 and 164,909.40 is: 231,573

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,909.40 : 231,573 = 164,909.40 : x
  2. Step 2: Convert to fraction form
    164,909.40/231,573 = 164,909.40/x
  3. Step 3: Cross multiply
    164,909.40x = 231,573 × 164,909.40
  4. Step 4: Simplify right side
    164,909.40x = 38,188,564,486.20
  5. Step 5: Solve for x
    x = 38,188,564,486.20/164,909.40
  6. Step 6: Final answer
    x = 231,573

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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.