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Finding the Fourth Proportional to 214,967.99, 296,653.69 and 119,472.64

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Solution

The fourth proportional to 214,967.99, 296,653.69 and 119,472.64 is: 164,871.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,967.99 : 296,653.69 = 119,472.64 : x
  2. Step 2: Convert to fraction form
    214,967.99/296,653.69 = 119,472.64/x
  3. Step 3: Cross multiply
    214,967.99x = 296,653.69 × 119,472.64
  4. Step 4: Simplify right side
    214,967.99x = 35,441,998,917.75
  5. Step 5: Solve for x
    x = 35,441,998,917.75/214,967.99
  6. Step 6: Final answer
    x = 164,871.05

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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.