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Finding the Fourth Proportional to 105,763, 145,952.94 and 61,051

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Solution

The fourth proportional to 105,763, 145,952.94 and 61,051 is: 84,250.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,763 : 145,952.94 = 61,051 : x
  2. Step 2: Convert to fraction form
    105,763/145,952.94 = 61,051/x
  3. Step 3: Cross multiply
    105,763x = 145,952.94 × 61,051
  4. Step 4: Simplify right side
    105,763x = 8,910,572,939.94
  5. Step 5: Solve for x
    x = 8,910,572,939.94/105,763
  6. Step 6: Final answer
    x = 84,250.38

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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.