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Finding the Fourth Proportional to 358,019.73, 536,953.95 and 105,231.46

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Solution

The fourth proportional to 358,019.73, 536,953.95 and 105,231.46 is: 157,824.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,019.73 : 536,953.95 = 105,231.46 : x
  2. Step 2: Convert to fraction form
    358,019.73/536,953.95 = 105,231.46/x
  3. Step 3: Cross multiply
    358,019.73x = 536,953.95 × 105,231.46
  4. Step 4: Simplify right side
    358,019.73x = 56,504,448,111.27
  5. Step 5: Solve for x
    x = 56,504,448,111.27/358,019.73
  6. Step 6: Final answer
    x = 157,824.96

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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.