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Finding the Fourth Proportional to 214,213.82, 295,749.50 and 137,865.58

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Solution

The fourth proportional to 214,213.82, 295,749.50 and 137,865.58 is: 190,341.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,213.82 : 295,749.50 = 137,865.58 : x
  2. Step 2: Convert to fraction form
    214,213.82/295,749.50 = 137,865.58/x
  3. Step 3: Cross multiply
    214,213.82x = 295,749.50 × 137,865.58
  4. Step 4: Simplify right side
    214,213.82x = 40,773,674,923.51
  5. Step 5: Solve for x
    x = 40,773,674,923.51/214,213.82
  6. Step 6: Final answer
    x = 190,341.01

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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.