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Finding the Fourth Proportional to 210,023.10, 315,034.65 and 150,974.10

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Solution

The fourth proportional to 210,023.10, 315,034.65 and 150,974.10 is: 226,461.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,023.10 : 315,034.65 = 150,974.10 : x
  2. Step 2: Convert to fraction form
    210,023.10/315,034.65 = 150,974.10/x
  3. Step 3: Cross multiply
    210,023.10x = 315,034.65 × 150,974.10
  4. Step 4: Simplify right side
    210,023.10x = 47,562,072,752.57
  5. Step 5: Solve for x
    x = 47,562,072,752.57/210,023.10
  6. Step 6: Final answer
    x = 226,461.15

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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.