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Finding the Fourth Proportional to 90,701.60, 135,783.60 and 67,431.20

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Solution

The fourth proportional to 90,701.60, 135,783.60 and 67,431.20 is: 100,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,701.60 : 135,783.60 = 67,431.20 : x
  2. Step 2: Convert to fraction form
    90,701.60/135,783.60 = 67,431.20/x
  3. Step 3: Cross multiply
    90,701.60x = 135,783.60 × 67,431.20
  4. Step 4: Simplify right side
    90,701.60x = 9,156,051,088.32
  5. Step 5: Solve for x
    x = 9,156,051,088.32/90,701.60
  6. Step 6: Final answer
    x = 100,946.96

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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.