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Finding the Fourth Proportional to 164,563.80, 231,011.40 and 164,563.80

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Solution

The fourth proportional to 164,563.80, 231,011.40 and 164,563.80 is: 231,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,563.80 : 231,011.40 = 164,563.80 : x
  2. Step 2: Convert to fraction form
    164,563.80/231,011.40 = 164,563.80/x
  3. Step 3: Cross multiply
    164,563.80x = 231,011.40 × 164,563.80
  4. Step 4: Simplify right side
    164,563.80x = 38,016,113,827.32
  5. Step 5: Solve for x
    x = 38,016,113,827.32/164,563.80
  6. Step 6: Final answer
    x = 231,011.40

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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.