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Finding the Fourth Proportional to 105,957, 146,240.10 and 61,245

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Solution

The fourth proportional to 105,957, 146,240.10 and 61,245 is: 84,529.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,957 : 146,240.10 = 61,245 : x
  2. Step 2: Convert to fraction form
    105,957/146,240.10 = 61,245/x
  3. Step 3: Cross multiply
    105,957x = 146,240.10 × 61,245
  4. Step 4: Simplify right side
    105,957x = 8,956,474,924.50
  5. Step 5: Solve for x
    x = 8,956,474,924.50/105,957
  6. Step 6: Final answer
    x = 84,529.34

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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.