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Finding the Fourth Proportional to 174,671.40, 261,820.22 and 90,346.66

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Solution

The fourth proportional to 174,671.40, 261,820.22 and 90,346.66 is: 135,423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,671.40 : 261,820.22 = 90,346.66 : x
  2. Step 2: Convert to fraction form
    174,671.40/261,820.22 = 90,346.66/x
  3. Step 3: Cross multiply
    174,671.40x = 261,820.22 × 90,346.66
  4. Step 4: Simplify right side
    174,671.40x = 23,654,581,291.18
  5. Step 5: Solve for x
    x = 23,654,581,291.18/174,671.40
  6. Step 6: Final answer
    x = 135,423.32

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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.