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Finding the Fourth Proportional to 214,043.60, 295,578.72 and 160,235.20

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Solution

The fourth proportional to 214,043.60, 295,578.72 and 160,235.20 is: 221,273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,043.60 : 295,578.72 = 160,235.20 : x
  2. Step 2: Convert to fraction form
    214,043.60/295,578.72 = 160,235.20/x
  3. Step 3: Cross multiply
    214,043.60x = 295,578.72 × 160,235.20
  4. Step 4: Simplify right side
    214,043.60x = 47,362,115,314.94
  5. Step 5: Solve for x
    x = 47,362,115,314.94/214,043.60
  6. Step 6: Final answer
    x = 221,273.21

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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.