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Finding the Fourth Proportional to 201,839.40, 302,499.90 and 154,859.40

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Solution

The fourth proportional to 201,839.40, 302,499.90 and 154,859.40 is: 232,090.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,839.40 : 302,499.90 = 154,859.40 : x
  2. Step 2: Convert to fraction form
    201,839.40/302,499.90 = 154,859.40/x
  3. Step 3: Cross multiply
    201,839.40x = 302,499.90 × 154,859.40
  4. Step 4: Simplify right side
    201,839.40x = 46,844,953,014.06
  5. Step 5: Solve for x
    x = 46,844,953,014.06/201,839.40
  6. Step 6: Final answer
    x = 232,090.23

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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.