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Finding the Fourth Proportional to 216,196.48, 324,494.06 and 109,655.20

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Solution

The fourth proportional to 216,196.48, 324,494.06 and 109,655.20 is: 164,583.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,196.48 : 324,494.06 = 109,655.20 : x
  2. Step 2: Convert to fraction form
    216,196.48/324,494.06 = 109,655.20/x
  3. Step 3: Cross multiply
    216,196.48x = 324,494.06 × 109,655.20
  4. Step 4: Simplify right side
    216,196.48x = 35,582,461,048.11
  5. Step 5: Solve for x
    x = 35,582,461,048.11/216,196.48
  6. Step 6: Final answer
    x = 164,583.91

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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.