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Finding the Fourth Proportional to 137,409.70, 192,529.10 and 137,409.70

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Solution

The fourth proportional to 137,409.70, 192,529.10 and 137,409.70 is: 192,529.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,409.70 : 192,529.10 = 137,409.70 : x
  2. Step 2: Convert to fraction form
    137,409.70/192,529.10 = 137,409.70/x
  3. Step 3: Cross multiply
    137,409.70x = 192,529.10 × 137,409.70
  4. Step 4: Simplify right side
    137,409.70x = 26,455,365,872.27
  5. Step 5: Solve for x
    x = 26,455,365,872.27/137,409.70
  6. Step 6: Final answer
    x = 192,529.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.