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Finding the Fourth Proportional to 216,145.08, 324,210.65 and 97,816.41

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Solution

The fourth proportional to 216,145.08, 324,210.65 and 97,816.41 is: 146,721.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,145.08 : 324,210.65 = 97,816.41 : x
  2. Step 2: Convert to fraction form
    216,145.08/324,210.65 = 97,816.41/x
  3. Step 3: Cross multiply
    216,145.08x = 324,210.65 × 97,816.41
  4. Step 4: Simplify right side
    216,145.08x = 31,713,121,377.68
  5. Step 5: Solve for x
    x = 31,713,121,377.68/216,145.08
  6. Step 6: Final answer
    x = 146,721.46

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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.