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Finding the Fourth Proportional to 140,464.44, 210,779.76 and 51,780.24

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Solution

The fourth proportional to 140,464.44, 210,779.76 and 51,780.24 is: 77,700.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,464.44 : 210,779.76 = 51,780.24 : x
  2. Step 2: Convert to fraction form
    140,464.44/210,779.76 = 51,780.24/x
  3. Step 3: Cross multiply
    140,464.44x = 210,779.76 × 51,780.24
  4. Step 4: Simplify right side
    140,464.44x = 10,914,226,559.94
  5. Step 5: Solve for x
    x = 10,914,226,559.94/140,464.44
  6. Step 6: Final answer
    x = 77,700.99

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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.