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Finding the Fourth Proportional to 202,078.40, 278,861.80 and 111,438.19

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Solution

The fourth proportional to 202,078.40, 278,861.80 and 111,438.19 is: 153,781.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,078.40 : 278,861.80 = 111,438.19 : x
  2. Step 2: Convert to fraction form
    202,078.40/278,861.80 = 111,438.19/x
  3. Step 3: Cross multiply
    202,078.40x = 278,861.80 × 111,438.19
  4. Step 4: Simplify right side
    202,078.40x = 31,075,854,252.14
  5. Step 5: Solve for x
    x = 31,075,854,252.14/202,078.40
  6. Step 6: Final answer
    x = 153,781.18

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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.