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Finding the Fourth Proportional to 194,510.70, 291,897.36 and 76,167.27

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Solution

The fourth proportional to 194,510.70, 291,897.36 and 76,167.27 is: 114,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,510.70 : 291,897.36 = 76,167.27 : x
  2. Step 2: Convert to fraction form
    194,510.70/291,897.36 = 76,167.27/x
  3. Step 3: Cross multiply
    194,510.70x = 291,897.36 × 76,167.27
  4. Step 4: Simplify right side
    194,510.70x = 22,233,025,031.41
  5. Step 5: Solve for x
    x = 22,233,025,031.41/194,510.70
  6. Step 6: Final answer
    x = 114,302.32

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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.