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Finding the Fourth Proportional to 253,495.56, 380,363.62 and 127,147.10

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Solution

The fourth proportional to 253,495.56, 380,363.62 and 127,147.10 is: 190,780.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,495.56 : 380,363.62 = 127,147.10 : x
  2. Step 2: Convert to fraction form
    253,495.56/380,363.62 = 127,147.10/x
  3. Step 3: Cross multiply
    253,495.56x = 380,363.62 × 127,147.10
  4. Step 4: Simplify right side
    253,495.56x = 48,362,131,228.50
  5. Step 5: Solve for x
    x = 48,362,131,228.50/253,495.56
  6. Step 6: Final answer
    x = 190,780.98

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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.