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Finding the Fourth Proportional to 164,913.10, 231,344.90 and 164,913.10

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Solution

The fourth proportional to 164,913.10, 231,344.90 and 164,913.10 is: 231,344.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,913.10 : 231,344.90 = 164,913.10 : x
  2. Step 2: Convert to fraction form
    164,913.10/231,344.90 = 164,913.10/x
  3. Step 3: Cross multiply
    164,913.10x = 231,344.90 × 164,913.10
  4. Step 4: Simplify right side
    164,913.10x = 38,151,804,628.19
  5. Step 5: Solve for x
    x = 38,151,804,628.19/164,913.10
  6. Step 6: Final answer
    x = 231,344.90

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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.