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Finding the Fourth Proportional to 164,855.80, 231,323 and 164,855.80

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Solution

The fourth proportional to 164,855.80, 231,323 and 164,855.80 is: 231,323.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,855.80 : 231,323 = 164,855.80 : x
  2. Step 2: Convert to fraction form
    164,855.80/231,323 = 164,855.80/x
  3. Step 3: Cross multiply
    164,855.80x = 231,323 × 164,855.80
  4. Step 4: Simplify right side
    164,855.80x = 38,134,938,223.40
  5. Step 5: Solve for x
    x = 38,134,938,223.40/164,855.80
  6. Step 6: Final answer
    x = 231,323.00

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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.