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Finding the Fourth Proportional to 216,598.11, 324,970.94 and 116,767.90

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Solution

The fourth proportional to 216,598.11, 324,970.94 and 116,767.90 is: 175,191.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,598.11 : 324,970.94 = 116,767.90 : x
  2. Step 2: Convert to fraction form
    216,598.11/324,970.94 = 116,767.90/x
  3. Step 3: Cross multiply
    216,598.11x = 324,970.94 × 116,767.90
  4. Step 4: Simplify right side
    216,598.11x = 37,946,174,224.83
  5. Step 5: Solve for x
    x = 37,946,174,224.83/216,598.11
  6. Step 6: Final answer
    x = 175,191.62

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Why These Related Problems?

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