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Finding the Fourth Proportional to 178,452.60, 246,264.94 and 97,880.78

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Solution

The fourth proportional to 178,452.60, 246,264.94 and 97,880.78 is: 135,075.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,452.60 : 246,264.94 = 97,880.78 : x
  2. Step 2: Convert to fraction form
    178,452.60/246,264.94 = 97,880.78/x
  3. Step 3: Cross multiply
    178,452.60x = 246,264.94 × 97,880.78
  4. Step 4: Simplify right side
    178,452.60x = 24,104,604,413.85
  5. Step 5: Solve for x
    x = 24,104,604,413.85/178,452.60
  6. Step 6: Final answer
    x = 135,075.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.