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Finding the Fourth Proportional to 164,532.90, 229,879.50 and 164,532.90

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Solution

The fourth proportional to 164,532.90, 229,879.50 and 164,532.90 is: 229,879.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,532.90 : 229,879.50 = 164,532.90 : x
  2. Step 2: Convert to fraction form
    164,532.90/229,879.50 = 164,532.90/x
  3. Step 3: Cross multiply
    164,532.90x = 229,879.50 × 164,532.90
  4. Step 4: Simplify right side
    164,532.90x = 37,822,740,785.55
  5. Step 5: Solve for x
    x = 37,822,740,785.55/164,532.90
  6. Step 6: Final answer
    x = 229,879.50

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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.