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Finding the Fourth Proportional to 160,663.50, 221,715.63 and 97,016.94

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Solution

The fourth proportional to 160,663.50, 221,715.63 and 97,016.94 is: 133,883.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,663.50 : 221,715.63 = 97,016.94 : x
  2. Step 2: Convert to fraction form
    160,663.50/221,715.63 = 97,016.94/x
  3. Step 3: Cross multiply
    160,663.50x = 221,715.63 × 97,016.94
  4. Step 4: Simplify right side
    160,663.50x = 21,510,171,972.77
  5. Step 5: Solve for x
    x = 21,510,171,972.77/160,663.50
  6. Step 6: Final answer
    x = 133,883.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.