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Finding the Fourth Proportional to 164,021.61, 246,053.24 and 64,169

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Solution

The fourth proportional to 164,021.61, 246,053.24 and 64,169 is: 96,261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,021.61 : 246,053.24 = 64,169 : x
  2. Step 2: Convert to fraction form
    164,021.61/246,053.24 = 64,169/x
  3. Step 3: Cross multiply
    164,021.61x = 246,053.24 × 64,169
  4. Step 4: Simplify right side
    164,021.61x = 15,788,990,357.56
  5. Step 5: Solve for x
    x = 15,788,990,357.56/164,021.61
  6. Step 6: Final answer
    x = 96,261.65

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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.