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Finding the Fourth Proportional to 201,649.40, 302,474.10 and 113,075.90

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Solution

The fourth proportional to 201,649.40, 302,474.10 and 113,075.90 is: 169,613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,649.40 : 302,474.10 = 113,075.90 : x
  2. Step 2: Convert to fraction form
    201,649.40/302,474.10 = 113,075.90/x
  3. Step 3: Cross multiply
    201,649.40x = 302,474.10 × 113,075.90
  4. Step 4: Simplify right side
    201,649.40x = 34,202,531,084.19
  5. Step 5: Solve for x
    x = 34,202,531,084.19/201,649.40
  6. Step 6: Final answer
    x = 169,613.85

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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.