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Finding the Fourth Proportional to 212,896.32, 293,792.94 and 116,101.32

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Solution

The fourth proportional to 212,896.32, 293,792.94 and 116,101.32 is: 160,217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,896.32 : 293,792.94 = 116,101.32 : x
  2. Step 2: Convert to fraction form
    212,896.32/293,792.94 = 116,101.32/x
  3. Step 3: Cross multiply
    212,896.32x = 293,792.94 × 116,101.32
  4. Step 4: Simplify right side
    212,896.32x = 34,109,748,140.68
  5. Step 5: Solve for x
    x = 34,109,748,140.68/212,896.32
  6. Step 6: Final answer
    x = 160,217.65

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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.