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Finding the Fourth Proportional to 193,053.57, 289,689.09 and 150,815.15

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Solution

The fourth proportional to 193,053.57, 289,689.09 and 150,815.15 is: 226,307.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,053.57 : 289,689.09 = 150,815.15 : x
  2. Step 2: Convert to fraction form
    193,053.57/289,689.09 = 150,815.15/x
  3. Step 3: Cross multiply
    193,053.57x = 289,689.09 × 150,815.15
  4. Step 4: Simplify right side
    193,053.57x = 43,689,503,561.71
  5. Step 5: Solve for x
    x = 43,689,503,561.71/193,053.57
  6. Step 6: Final answer
    x = 226,307.67

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1.5x scale

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.