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Finding the Fourth Proportional to 160,723.89, 221,784.03 and 89,097.84

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Solution

The fourth proportional to 160,723.89, 221,784.03 and 89,097.84 is: 122,946.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,723.89 : 221,784.03 = 89,097.84 : x
  2. Step 2: Convert to fraction form
    160,723.89/221,784.03 = 89,097.84/x
  3. Step 3: Cross multiply
    160,723.89x = 221,784.03 × 89,097.84
  4. Step 4: Simplify right side
    160,723.89x = 19,760,478,019.50
  5. Step 5: Solve for x
    x = 19,760,478,019.50/160,723.89
  6. Step 6: Final answer
    x = 122,946.74

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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.