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Finding the Fourth Proportional to 221,264.65, 305,266.47 and 130,575.25

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Solution

The fourth proportional to 221,264.65, 305,266.47 and 130,575.25 is: 180,147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,264.65 : 305,266.47 = 130,575.25 : x
  2. Step 2: Convert to fraction form
    221,264.65/305,266.47 = 130,575.25/x
  3. Step 3: Cross multiply
    221,264.65x = 305,266.47 × 130,575.25
  4. Step 4: Simplify right side
    221,264.65x = 39,860,245,636.87
  5. Step 5: Solve for x
    x = 39,860,245,636.87/221,264.65
  6. Step 6: Final answer
    x = 180,147.37

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