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Finding the Fourth Proportional to 134,829, 186,064.02 and 75,213

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Solution

The fourth proportional to 134,829, 186,064.02 and 75,213 is: 103,793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,829 : 186,064.02 = 75,213 : x
  2. Step 2: Convert to fraction form
    134,829/186,064.02 = 75,213/x
  3. Step 3: Cross multiply
    134,829x = 186,064.02 × 75,213
  4. Step 4: Simplify right side
    134,829x = 13,994,433,136.26
  5. Step 5: Solve for x
    x = 13,994,433,136.26/134,829
  6. Step 6: Final answer
    x = 103,793.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.