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Finding the Fourth Proportional to 201,872.20, 302,225.10 and 123,140.20

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Solution

The fourth proportional to 201,872.20, 302,225.10 and 123,140.20 is: 184,354.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,872.20 : 302,225.10 = 123,140.20 : x
  2. Step 2: Convert to fraction form
    201,872.20/302,225.10 = 123,140.20/x
  3. Step 3: Cross multiply
    201,872.20x = 302,225.10 × 123,140.20
  4. Step 4: Simplify right side
    201,872.20x = 37,216,059,259.02
  5. Step 5: Solve for x
    x = 37,216,059,259.02/201,872.20
  6. Step 6: Final answer
    x = 184,354.55

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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.