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Finding the Fourth Proportional to 130,683, 196,024.50 and 56,811

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Solution

The fourth proportional to 130,683, 196,024.50 and 56,811 is: 85,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,683 : 196,024.50 = 56,811 : x
  2. Step 2: Convert to fraction form
    130,683/196,024.50 = 56,811/x
  3. Step 3: Cross multiply
    130,683x = 196,024.50 × 56,811
  4. Step 4: Simplify right side
    130,683x = 11,136,347,869.50
  5. Step 5: Solve for x
    x = 11,136,347,869.50/130,683
  6. Step 6: Final answer
    x = 85,216.50

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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.