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Finding the Fourth Proportional to 202,075.26, 278,925.03 and 117,213.18

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Solution

The fourth proportional to 202,075.26, 278,925.03 and 117,213.18 is: 161,789.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,075.26 : 278,925.03 = 117,213.18 : x
  2. Step 2: Convert to fraction form
    202,075.26/278,925.03 = 117,213.18/x
  3. Step 3: Cross multiply
    202,075.26x = 278,925.03 × 117,213.18
  4. Step 4: Simplify right side
    202,075.26x = 32,693,689,747.90
  5. Step 5: Solve for x
    x = 32,693,689,747.90/202,075.26
  6. Step 6: Final answer
    x = 161,789.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.