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Finding the Fourth Proportional to 214,781.63, 296,398.64 and 119,297.21

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Solution

The fourth proportional to 214,781.63, 296,398.64 and 119,297.21 is: 164,630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,781.63 : 296,398.64 = 119,297.21 : x
  2. Step 2: Convert to fraction form
    214,781.63/296,398.64 = 119,297.21/x
  3. Step 3: Cross multiply
    214,781.63x = 296,398.64 × 119,297.21
  4. Step 4: Simplify right side
    214,781.63x = 35,359,529,616.04
  5. Step 5: Solve for x
    x = 35,359,529,616.04/214,781.63
  6. Step 6: Final answer
    x = 164,630.14

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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.