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Finding the Fourth Proportional to 214,513.86, 296,103.15 and 132,904.74

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Solution

The fourth proportional to 214,513.86, 296,103.15 and 132,904.74 is: 183,454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,513.86 : 296,103.15 = 132,904.74 : x
  2. Step 2: Convert to fraction form
    214,513.86/296,103.15 = 132,904.74/x
  3. Step 3: Cross multiply
    214,513.86x = 296,103.15 × 132,904.74
  4. Step 4: Simplify right side
    214,513.86x = 39,353,512,163.93
  5. Step 5: Solve for x
    x = 39,353,512,163.93/214,513.86
  6. Step 6: Final answer
    x = 183,454.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.