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Finding the Fourth Proportional to 214,209.74, 295,619.40 and 118,716.44

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Solution

The fourth proportional to 214,209.74, 295,619.40 and 118,716.44 is: 163,834.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,209.74 : 295,619.40 = 118,716.44 : x
  2. Step 2: Convert to fraction form
    214,209.74/295,619.40 = 118,716.44/x
  3. Step 3: Cross multiply
    214,209.74x = 295,619.40 × 118,716.44
  4. Step 4: Simplify right side
    214,209.74x = 35,094,882,762.94
  5. Step 5: Solve for x
    x = 35,094,882,762.94/214,209.74
  6. Step 6: Final answer
    x = 163,834.21

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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.