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Finding the Fourth Proportional to 164,922.10, 231,357.50 and 164,922.10

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Solution

The fourth proportional to 164,922.10, 231,357.50 and 164,922.10 is: 231,357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,922.10 : 231,357.50 = 164,922.10 : x
  2. Step 2: Convert to fraction form
    164,922.10/231,357.50 = 164,922.10/x
  3. Step 3: Cross multiply
    164,922.10x = 231,357.50 × 164,922.10
  4. Step 4: Simplify right side
    164,922.10x = 38,155,964,750.75
  5. Step 5: Solve for x
    x = 38,155,964,750.75/164,922.10
  6. Step 6: Final answer
    x = 231,357.50

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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.