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Finding the Fourth Proportional to 277,188.51, 415,779.12 and 66,824.76

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Solution

The fourth proportional to 277,188.51, 415,779.12 and 66,824.76 is: 100,236.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,188.51 : 415,779.12 = 66,824.76 : x
  2. Step 2: Convert to fraction form
    277,188.51/415,779.12 = 66,824.76/x
  3. Step 3: Cross multiply
    277,188.51x = 415,779.12 × 66,824.76
  4. Step 4: Simplify right side
    277,188.51x = 27,784,339,907.01
  5. Step 5: Solve for x
    x = 27,784,339,907.01/277,188.51
  6. Step 6: Final answer
    x = 100,236.26

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1.5x scale

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.