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Finding the Fourth Proportional to 214,798.86, 296,422.50 and 119,314.44

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Solution

The fourth proportional to 214,798.86, 296,422.50 and 119,314.44 is: 164,653.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,798.86 : 296,422.50 = 119,314.44 : x
  2. Step 2: Convert to fraction form
    214,798.86/296,422.50 = 119,314.44/x
  3. Step 3: Cross multiply
    214,798.86x = 296,422.50 × 119,314.44
  4. Step 4: Simplify right side
    214,798.86x = 35,367,484,590.90
  5. Step 5: Solve for x
    x = 35,367,484,590.90/214,798.86
  6. Step 6: Final answer
    x = 164,653.97

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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.