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Finding the Fourth Proportional to 214,906.16, 296,567.64 and 119,410.64

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Solution

The fourth proportional to 214,906.16, 296,567.64 and 119,410.64 is: 164,785.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,906.16 : 296,567.64 = 119,410.64 : x
  2. Step 2: Convert to fraction form
    214,906.16/296,567.64 = 119,410.64/x
  3. Step 3: Cross multiply
    214,906.16x = 296,567.64 × 119,410.64
  4. Step 4: Simplify right side
    214,906.16x = 35,413,331,695.69
  5. Step 5: Solve for x
    x = 35,413,331,695.69/214,906.16
  6. Step 6: Final answer
    x = 164,785.09

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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.