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Finding the Fourth Proportional to 163,823.60, 229,819.60 and 163,823.60

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Solution

The fourth proportional to 163,823.60, 229,819.60 and 163,823.60 is: 229,819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,823.60 : 229,819.60 = 163,823.60 : x
  2. Step 2: Convert to fraction form
    163,823.60/229,819.60 = 163,823.60/x
  3. Step 3: Cross multiply
    163,823.60x = 229,819.60 × 163,823.60
  4. Step 4: Simplify right side
    163,823.60x = 37,649,874,222.56
  5. Step 5: Solve for x
    x = 37,649,874,222.56/163,823.60
  6. Step 6: Final answer
    x = 229,819.60

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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.