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Finding the Fourth Proportional to 196,706.84, 295,059.74 and 84,314.18

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Solution

The fourth proportional to 196,706.84, 295,059.74 and 84,314.18 is: 126,471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,706.84 : 295,059.74 = 84,314.18 : x
  2. Step 2: Convert to fraction form
    196,706.84/295,059.74 = 84,314.18/x
  3. Step 3: Cross multiply
    196,706.84x = 295,059.74 × 84,314.18
  4. Step 4: Simplify right side
    196,706.84x = 24,877,720,345.19
  5. Step 5: Solve for x
    x = 24,877,720,345.19/196,706.84
  6. Step 6: Final answer
    x = 126,471.05

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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.