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Finding the Fourth Proportional to 160,704.02, 221,748.24 and 89,084

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Solution

The fourth proportional to 160,704.02, 221,748.24 and 89,084 is: 122,923.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,704.02 : 221,748.24 = 89,084 : x
  2. Step 2: Convert to fraction form
    160,704.02/221,748.24 = 89,084/x
  3. Step 3: Cross multiply
    160,704.02x = 221,748.24 × 89,084
  4. Step 4: Simplify right side
    160,704.02x = 19,754,220,212.16
  5. Step 5: Solve for x
    x = 19,754,220,212.16/160,704.02
  6. Step 6: Final answer
    x = 122,923.00

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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.