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Finding the Fourth Proportional to 214,502.41, 296,048.65 and 119,039.86

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Solution

The fourth proportional to 214,502.41, 296,048.65 and 119,039.86 is: 164,294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,502.41 : 296,048.65 = 119,039.86 : x
  2. Step 2: Convert to fraction form
    214,502.41/296,048.65 = 119,039.86/x
  3. Step 3: Cross multiply
    214,502.41x = 296,048.65 × 119,039.86
  4. Step 4: Simplify right side
    214,502.41x = 35,241,588,811.47
  5. Step 5: Solve for x
    x = 35,241,588,811.47/214,502.41
  6. Step 6: Final answer
    x = 164,294.61

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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.