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Finding the Fourth Proportional to 216,533.14, 298,816.13 and 121,039.78

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Solution

The fourth proportional to 216,533.14, 298,816.13 and 121,039.78 is: 167,035.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,533.14 : 298,816.13 = 121,039.78 : x
  2. Step 2: Convert to fraction form
    216,533.14/298,816.13 = 121,039.78/x
  3. Step 3: Cross multiply
    216,533.14x = 298,816.13 × 121,039.78
  4. Step 4: Simplify right side
    216,533.14x = 36,168,638,635.65
  5. Step 5: Solve for x
    x = 36,168,638,635.65/216,533.14
  6. Step 6: Final answer
    x = 167,035.12

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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.