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Finding the Fourth Proportional to 201,642.80, 302,464.20 and 139,434.80

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Solution

The fourth proportional to 201,642.80, 302,464.20 and 139,434.80 is: 209,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,642.80 : 302,464.20 = 139,434.80 : x
  2. Step 2: Convert to fraction form
    201,642.80/302,464.20 = 139,434.80/x
  3. Step 3: Cross multiply
    201,642.80x = 302,464.20 × 139,434.80
  4. Step 4: Simplify right side
    201,642.80x = 42,174,035,234.16
  5. Step 5: Solve for x
    x = 42,174,035,234.16/201,642.80
  6. Step 6: Final answer
    x = 209,152.20

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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.