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Finding the Fourth Proportional to 160,818.96, 221,943.76 and 89,222

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Solution

The fourth proportional to 160,818.96, 221,943.76 and 89,222 is: 123,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,818.96 : 221,943.76 = 89,222 : x
  2. Step 2: Convert to fraction form
    160,818.96/221,943.76 = 89,222/x
  3. Step 3: Cross multiply
    160,818.96x = 221,943.76 × 89,222
  4. Step 4: Simplify right side
    160,818.96x = 19,802,266,154.72
  5. Step 5: Solve for x
    x = 19,802,266,154.72/160,818.96
  6. Step 6: Final answer
    x = 123,133.90

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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.