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Finding the Fourth Proportional to 130,472.70, 195,746.98 and 54,607.03

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Solution

The fourth proportional to 130,472.70, 195,746.98 and 54,607.03 is: 81,926.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,472.70 : 195,746.98 = 54,607.03 : x
  2. Step 2: Convert to fraction form
    130,472.70/195,746.98 = 54,607.03/x
  3. Step 3: Cross multiply
    130,472.70x = 195,746.98 × 54,607.03
  4. Step 4: Simplify right side
    130,472.70x = 10,689,161,209.27
  5. Step 5: Solve for x
    x = 10,689,161,209.27/130,472.70
  6. Step 6: Final answer
    x = 81,926.42

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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.