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Finding the Fourth Proportional to 214,709.01, 296,164.40 and 138,329.25

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Solution

The fourth proportional to 214,709.01, 296,164.40 and 138,329.25 is: 190,808.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,709.01 : 296,164.40 = 138,329.25 : x
  2. Step 2: Convert to fraction form
    214,709.01/296,164.40 = 138,329.25/x
  3. Step 3: Cross multiply
    214,709.01x = 296,164.40 × 138,329.25
  4. Step 4: Simplify right side
    214,709.01x = 40,968,198,637.05
  5. Step 5: Solve for x
    x = 40,968,198,637.05/214,709.01
  6. Step 6: Final answer
    x = 190,808.01

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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.