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Finding the Fourth Proportional to 341,990.46, 513,040.84 and 105,333.06

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Solution

The fourth proportional to 341,990.46, 513,040.84 and 105,333.06 is: 158,016.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,990.46 : 513,040.84 = 105,333.06 : x
  2. Step 2: Convert to fraction form
    341,990.46/513,040.84 = 105,333.06/x
  3. Step 3: Cross multiply
    341,990.46x = 513,040.84 × 105,333.06
  4. Step 4: Simplify right side
    341,990.46x = 54,040,161,582.17
  5. Step 5: Solve for x
    x = 54,040,161,582.17/341,990.46
  6. Step 6: Final answer
    x = 158,016.58

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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.