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Finding the Fourth Proportional to 216,448.50, 298,693.14 and 120,955.98

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Solution

The fourth proportional to 216,448.50, 298,693.14 and 120,955.98 is: 166,916.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,448.50 : 298,693.14 = 120,955.98 : x
  2. Step 2: Convert to fraction form
    216,448.50/298,693.14 = 120,955.98/x
  3. Step 3: Cross multiply
    216,448.50x = 298,693.14 × 120,955.98
  4. Step 4: Simplify right side
    216,448.50x = 36,128,721,467.98
  5. Step 5: Solve for x
    x = 36,128,721,467.98/216,448.50
  6. Step 6: Final answer
    x = 166,916.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.