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Finding the Fourth Proportional to 214,130.40, 321,195.60 and 201,008.40

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Solution

The fourth proportional to 214,130.40, 321,195.60 and 201,008.40 is: 301,512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,130.40 : 321,195.60 = 201,008.40 : x
  2. Step 2: Convert to fraction form
    214,130.40/321,195.60 = 201,008.40/x
  3. Step 3: Cross multiply
    214,130.40x = 321,195.60 × 201,008.40
  4. Step 4: Simplify right side
    214,130.40x = 64,563,013,643.04
  5. Step 5: Solve for x
    x = 64,563,013,643.04/214,130.40
  6. Step 6: Final answer
    x = 301,512.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.