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Finding the Fourth Proportional to 164,998.41, 227,701.23 and 93,378.42

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Solution

The fourth proportional to 164,998.41, 227,701.23 and 93,378.42 is: 128,864.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,998.41 : 227,701.23 = 93,378.42 : x
  2. Step 2: Convert to fraction form
    164,998.41/227,701.23 = 93,378.42/x
  3. Step 3: Cross multiply
    164,998.41x = 227,701.23 × 93,378.42
  4. Step 4: Simplify right side
    164,998.41x = 21,262,381,089.46
  5. Step 5: Solve for x
    x = 21,262,381,089.46/164,998.41
  6. Step 6: Final answer
    x = 128,864.16

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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.