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Finding the Fourth Proportional to 253,595.56, 380,464.41 and 101,899.15

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Solution

The fourth proportional to 253,595.56, 380,464.41 and 101,899.15 is: 152,877.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,595.56 : 380,464.41 = 101,899.15 : x
  2. Step 2: Convert to fraction form
    253,595.56/380,464.41 = 101,899.15/x
  3. Step 3: Cross multiply
    253,595.56x = 380,464.41 × 101,899.15
  4. Step 4: Simplify right side
    253,595.56x = 38,768,999,984.25
  5. Step 5: Solve for x
    x = 38,768,999,984.25/253,595.56
  6. Step 6: Final answer
    x = 152,877.28

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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.