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Finding the Fourth Proportional to 90,225.90, 135,266.76 and 42,817.14

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Solution

The fourth proportional to 90,225.90, 135,266.76 and 42,817.14 is: 64,191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,225.90 : 135,266.76 = 42,817.14 : x
  2. Step 2: Convert to fraction form
    90,225.90/135,266.76 = 42,817.14/x
  3. Step 3: Cross multiply
    90,225.90x = 135,266.76 × 42,817.14
  4. Step 4: Simplify right side
    90,225.90x = 5,791,735,800.27
  5. Step 5: Solve for x
    x = 5,791,735,800.27/90,225.90
  6. Step 6: Final answer
    x = 64,191.50

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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.