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Finding the Fourth Proportional to 194,859.36, 292,302.24 and 68,484.24

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Solution

The fourth proportional to 194,859.36, 292,302.24 and 68,484.24 is: 102,731.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,859.36 : 292,302.24 = 68,484.24 : x
  2. Step 2: Convert to fraction form
    194,859.36/292,302.24 = 68,484.24/x
  3. Step 3: Cross multiply
    194,859.36x = 292,302.24 × 68,484.24
  4. Step 4: Simplify right side
    194,859.36x = 20,018,096,756.70
  5. Step 5: Solve for x
    x = 20,018,096,756.70/194,859.36
  6. Step 6: Final answer
    x = 102,731.00

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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.