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Finding the Fourth Proportional to 274,364.98, 411,678.65 and 96,955.54

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Solution

The fourth proportional to 274,364.98, 411,678.65 and 96,955.54 is: 145,479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,364.98 : 411,678.65 = 96,955.54 : x
  2. Step 2: Convert to fraction form
    274,364.98/411,678.65 = 96,955.54/x
  3. Step 3: Cross multiply
    274,364.98x = 411,678.65 × 96,955.54
  4. Step 4: Simplify right side
    274,364.98x = 39,914,525,030.41
  5. Step 5: Solve for x
    x = 39,914,525,030.41/274,364.98
  6. Step 6: Final answer
    x = 145,479.67

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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.