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Finding the Fourth Proportional to 214,052.51, 295,591.01 and 160,244.12

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Solution

The fourth proportional to 214,052.51, 295,591.01 and 160,244.12 is: 221,285.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,052.51 : 295,591.01 = 160,244.12 : x
  2. Step 2: Convert to fraction form
    214,052.51/295,591.01 = 160,244.12/x
  3. Step 3: Cross multiply
    214,052.51x = 295,591.01 × 160,244.12
  4. Step 4: Simplify right side
    214,052.51x = 47,366,720,200.02
  5. Step 5: Solve for x
    x = 47,366,720,200.02/214,052.51
  6. Step 6: Final answer
    x = 221,285.52

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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.