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Finding the Fourth Proportional to 201,797.10, 302,549.85 and 113,077.80

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Solution

The fourth proportional to 201,797.10, 302,549.85 and 113,077.80 is: 169,535.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,797.10 : 302,549.85 = 113,077.80 : x
  2. Step 2: Convert to fraction form
    201,797.10/302,549.85 = 113,077.80/x
  3. Step 3: Cross multiply
    201,797.10x = 302,549.85 × 113,077.80
  4. Step 4: Simplify right side
    201,797.10x = 34,211,671,428.33
  5. Step 5: Solve for x
    x = 34,211,671,428.33/201,797.10
  6. Step 6: Final answer
    x = 169,535.00

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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.