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Finding the Fourth Proportional to 196,094.33, 294,238.71 and 77,763.05

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Solution

The fourth proportional to 196,094.33, 294,238.71 and 77,763.05 is: 116,683.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,094.33 : 294,238.71 = 77,763.05 : x
  2. Step 2: Convert to fraction form
    196,094.33/294,238.71 = 77,763.05/x
  3. Step 3: Cross multiply
    196,094.33x = 294,238.71 × 77,763.05
  4. Step 4: Simplify right side
    196,094.33x = 22,880,899,517.67
  5. Step 5: Solve for x
    x = 22,880,899,517.67/196,094.33
  6. Step 6: Final answer
    x = 116,683.13

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1.5x scale

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.