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Finding the Fourth Proportional to 214,504.41, 296,051.41 and 119,041.86

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Solution

The fourth proportional to 214,504.41, 296,051.41 and 119,041.86 is: 164,297.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,504.41 : 296,051.41 = 119,041.86 : x
  2. Step 2: Convert to fraction form
    214,504.41/296,051.41 = 119,041.86/x
  3. Step 3: Cross multiply
    214,504.41x = 296,051.41 × 119,041.86
  4. Step 4: Simplify right side
    214,504.41x = 35,242,510,502.02
  5. Step 5: Solve for x
    x = 35,242,510,502.02/214,504.41
  6. Step 6: Final answer
    x = 164,297.37

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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.