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Finding the Fourth Proportional to 163,584.30, 229,251.30 and 163,584.30

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Solution

The fourth proportional to 163,584.30, 229,251.30 and 163,584.30 is: 229,251.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,584.30 : 229,251.30 = 163,584.30 : x
  2. Step 2: Convert to fraction form
    163,584.30/229,251.30 = 163,584.30/x
  3. Step 3: Cross multiply
    163,584.30x = 229,251.30 × 163,584.30
  4. Step 4: Simplify right side
    163,584.30x = 37,501,913,434.59
  5. Step 5: Solve for x
    x = 37,501,913,434.59/163,584.30
  6. Step 6: Final answer
    x = 229,251.30

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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.