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Finding the Fourth Proportional to 202,078.26, 278,869.32 and 111,437.64

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Solution

The fourth proportional to 202,078.26, 278,869.32 and 111,437.64 is: 153,784.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,078.26 : 278,869.32 = 111,437.64 : x
  2. Step 2: Convert to fraction form
    202,078.26/278,869.32 = 111,437.64/x
  3. Step 3: Cross multiply
    202,078.26x = 278,869.32 × 111,437.64
  4. Step 4: Simplify right side
    202,078.26x = 31,076,538,889.20
  5. Step 5: Solve for x
    x = 31,076,538,889.20/202,078.26
  6. Step 6: Final answer
    x = 153,784.67

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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.