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Finding the Fourth Proportional to 103,640.85, 155,625.30 and 78,709.05

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Solution

The fourth proportional to 103,640.85, 155,625.30 and 78,709.05 is: 118,188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,640.85 : 155,625.30 = 78,709.05 : x
  2. Step 2: Convert to fraction form
    103,640.85/155,625.30 = 78,709.05/x
  3. Step 3: Cross multiply
    103,640.85x = 155,625.30 × 78,709.05
  4. Step 4: Simplify right side
    103,640.85x = 12,249,119,518.97
  5. Step 5: Solve for x
    x = 12,249,119,518.97/103,640.85
  6. Step 6: Final answer
    x = 118,188.14

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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.