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Finding the Fourth Proportional to 201,832.04, 302,642.96 and 75,368.30

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Solution

The fourth proportional to 201,832.04, 302,642.96 and 75,368.30 is: 113,013.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,832.04 : 302,642.96 = 75,368.30 : x
  2. Step 2: Convert to fraction form
    201,832.04/302,642.96 = 75,368.30/x
  3. Step 3: Cross multiply
    201,832.04x = 302,642.96 × 75,368.30
  4. Step 4: Simplify right side
    201,832.04x = 22,809,683,512.11
  5. Step 5: Solve for x
    x = 22,809,683,512.11/201,832.04
  6. Step 6: Final answer
    x = 113,013.20

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Why These Related Problems?

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