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Finding the Fourth Proportional to 216,141.84, 324,208.62 and 97,730.46

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Solution

The fourth proportional to 216,141.84, 324,208.62 and 97,730.46 is: 146,593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,141.84 : 324,208.62 = 97,730.46 : x
  2. Step 2: Convert to fraction form
    216,141.84/324,208.62 = 97,730.46/x
  3. Step 3: Cross multiply
    216,141.84x = 324,208.62 × 97,730.46
  4. Step 4: Simplify right side
    216,141.84x = 31,685,057,568.57
  5. Step 5: Solve for x
    x = 31,685,057,568.57/216,141.84
  6. Step 6: Final answer
    x = 146,593.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.