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Finding the Fourth Proportional to 103,784.10, 155,348.10 and 74,259.60

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Solution

The fourth proportional to 103,784.10, 155,348.10 and 74,259.60 is: 111,154.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,784.10 : 155,348.10 = 74,259.60 : x
  2. Step 2: Convert to fraction form
    103,784.10/155,348.10 = 74,259.60/x
  3. Step 3: Cross multiply
    103,784.10x = 155,348.10 × 74,259.60
  4. Step 4: Simplify right side
    103,784.10x = 11,536,087,766.76
  5. Step 5: Solve for x
    x = 11,536,087,766.76/103,784.10
  6. Step 6: Final answer
    x = 111,154.67

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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.