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Finding the Fourth Proportional to 214,685.64, 296,453.93 and 134,250.21

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Solution

The fourth proportional to 214,685.64, 296,453.93 and 134,250.21 is: 185,382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,685.64 : 296,453.93 = 134,250.21 : x
  2. Step 2: Convert to fraction form
    214,685.64/296,453.93 = 134,250.21/x
  3. Step 3: Cross multiply
    214,685.64x = 296,453.93 × 134,250.21
  4. Step 4: Simplify right side
    214,685.64x = 39,799,001,686.57
  5. Step 5: Solve for x
    x = 39,799,001,686.57/214,685.64
  6. Step 6: Final answer
    x = 185,382.69

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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.