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Finding the Fourth Proportional to 90,603.20, 135,904.80 and 84,771.20

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Solution

The fourth proportional to 90,603.20, 135,904.80 and 84,771.20 is: 127,156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,603.20 : 135,904.80 = 84,771.20 : x
  2. Step 2: Convert to fraction form
    90,603.20/135,904.80 = 84,771.20/x
  3. Step 3: Cross multiply
    90,603.20x = 135,904.80 × 84,771.20
  4. Step 4: Simplify right side
    90,603.20x = 11,520,812,981.76
  5. Step 5: Solve for x
    x = 11,520,812,981.76/90,603.20
  6. Step 6: Final answer
    x = 127,156.80

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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.