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Finding the Fourth Proportional to 213,466.62, 294,686.82 and 137,099.67

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Solution

The fourth proportional to 213,466.62, 294,686.82 and 137,099.67 is: 189,263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,466.62 : 294,686.82 = 137,099.67 : x
  2. Step 2: Convert to fraction form
    213,466.62/294,686.82 = 137,099.67/x
  3. Step 3: Cross multiply
    213,466.62x = 294,686.82 × 137,099.67
  4. Step 4: Simplify right side
    213,466.62x = 40,401,465,775.35
  5. Step 5: Solve for x
    x = 40,401,465,775.35/213,466.62
  6. Step 6: Final answer
    x = 189,263.62

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1.5x scale

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.