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Finding the Fourth Proportional to 212,284, 292,932.72 and 116,794.72

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Solution

The fourth proportional to 212,284, 292,932.72 and 116,794.72 is: 161,166.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,284 : 292,932.72 = 116,794.72 : x
  2. Step 2: Convert to fraction form
    212,284/292,932.72 = 116,794.72/x
  3. Step 3: Cross multiply
    212,284x = 292,932.72 × 116,794.72
  4. Step 4: Simplify right side
    212,284x = 34,212,995,011.24
  5. Step 5: Solve for x
    x = 34,212,995,011.24/212,284
  6. Step 6: Final answer
    x = 161,166.15

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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.