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Finding the Fourth Proportional to 146,014.90, 204,559.10 and 146,014.90

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Solution

The fourth proportional to 146,014.90, 204,559.10 and 146,014.90 is: 204,559.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,014.90 : 204,559.10 = 146,014.90 : x
  2. Step 2: Convert to fraction form
    146,014.90/204,559.10 = 146,014.90/x
  3. Step 3: Cross multiply
    146,014.90x = 204,559.10 × 146,014.90
  4. Step 4: Simplify right side
    146,014.90x = 29,868,676,530.59
  5. Step 5: Solve for x
    x = 29,868,676,530.59/146,014.90
  6. Step 6: Final answer
    x = 204,559.10

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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.