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Finding the Fourth Proportional to 174,772.50, 261,594.86 and 90,416.49

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Solution

The fourth proportional to 174,772.50, 261,594.86 and 90,416.49 is: 135,333.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,772.50 : 261,594.86 = 90,416.49 : x
  2. Step 2: Convert to fraction form
    174,772.50/261,594.86 = 90,416.49/x
  3. Step 3: Cross multiply
    174,772.50x = 261,594.86 × 90,416.49
  4. Step 4: Simplify right side
    174,772.50x = 23,652,488,591.16
  5. Step 5: Solve for x
    x = 23,652,488,591.16/174,772.50
  6. Step 6: Final answer
    x = 135,333.01

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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.