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Finding the Fourth Proportional to 201,832.80, 302,749.20 and 139,624.80

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Solution

The fourth proportional to 201,832.80, 302,749.20 and 139,624.80 is: 209,437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,832.80 : 302,749.20 = 139,624.80 : x
  2. Step 2: Convert to fraction form
    201,832.80/302,749.20 = 139,624.80/x
  3. Step 3: Cross multiply
    201,832.80x = 302,749.20 × 139,624.80
  4. Step 4: Simplify right side
    201,832.80x = 42,271,296,500.16
  5. Step 5: Solve for x
    x = 42,271,296,500.16/201,832.80
  6. Step 6: Final answer
    x = 209,437.20

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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.