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Finding the Fourth Proportional to 364,152.80, 546,099.60 and 164,568.80

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Solution

The fourth proportional to 364,152.80, 546,099.60 and 164,568.80 is: 246,794.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,152.80 : 546,099.60 = 164,568.80 : x
  2. Step 2: Convert to fraction form
    364,152.80/546,099.60 = 164,568.80/x
  3. Step 3: Cross multiply
    364,152.80x = 546,099.60 × 164,568.80
  4. Step 4: Simplify right side
    364,152.80x = 89,870,955,852.48
  5. Step 5: Solve for x
    x = 89,870,955,852.48/364,152.80
  6. Step 6: Final answer
    x = 246,794.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.