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Finding the Fourth Proportional to 194,803.80, 292,205.70 and 118,696.20

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Solution

The fourth proportional to 194,803.80, 292,205.70 and 118,696.20 is: 178,044.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,803.80 : 292,205.70 = 118,696.20 : x
  2. Step 2: Convert to fraction form
    194,803.80/292,205.70 = 118,696.20/x
  3. Step 3: Cross multiply
    194,803.80x = 292,205.70 × 118,696.20
  4. Step 4: Simplify right side
    194,803.80x = 34,683,706,208.34
  5. Step 5: Solve for x
    x = 34,683,706,208.34/194,803.80
  6. Step 6: Final answer
    x = 178,044.30

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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.