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Finding the Fourth Proportional to 202,012.88, 278,779.71 and 111,372.16

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Solution

The fourth proportional to 202,012.88, 278,779.71 and 111,372.16 is: 153,694.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,012.88 : 278,779.71 = 111,372.16 : x
  2. Step 2: Convert to fraction form
    202,012.88/278,779.71 = 111,372.16/x
  3. Step 3: Cross multiply
    202,012.88x = 278,779.71 × 111,372.16
  4. Step 4: Simplify right side
    202,012.88x = 31,048,298,466.87
  5. Step 5: Solve for x
    x = 31,048,298,466.87/202,012.88
  6. Step 6: Final answer
    x = 153,694.65

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1.5x scale

Why These Related Problems?

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