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Finding the Fourth Proportional to 216,458.93, 298,714.43 and 120,967.22

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Solution

The fourth proportional to 216,458.93, 298,714.43 and 120,967.22 is: 166,935.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,458.93 : 298,714.43 = 120,967.22 : x
  2. Step 2: Convert to fraction form
    216,458.93/298,714.43 = 120,967.22/x
  3. Step 3: Cross multiply
    216,458.93x = 298,714.43 × 120,967.22
  4. Step 4: Simplify right side
    216,458.93x = 36,134,655,220.19
  5. Step 5: Solve for x
    x = 36,134,655,220.19/216,458.93
  6. Step 6: Final answer
    x = 166,935.38

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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.