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Finding the Fourth Proportional to 214,059.80, 295,401.80 and 123,415.26

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Solution

The fourth proportional to 214,059.80, 295,401.80 and 123,415.26 is: 170,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,059.80 : 295,401.80 = 123,415.26 : x
  2. Step 2: Convert to fraction form
    214,059.80/295,401.80 = 123,415.26/x
  3. Step 3: Cross multiply
    214,059.80x = 295,401.80 × 123,415.26
  4. Step 4: Simplify right side
    214,059.80x = 36,457,089,951.47
  5. Step 5: Solve for x
    x = 36,457,089,951.47/214,059.80
  6. Step 6: Final answer
    x = 170,312.64

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1.5x scale

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.