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Finding the Fourth Proportional to 189,092.49, 260,947.68 and 103,051.49

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Solution

The fourth proportional to 189,092.49, 260,947.68 and 103,051.49 is: 142,211.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,092.49 : 260,947.68 = 103,051.49 : x
  2. Step 2: Convert to fraction form
    189,092.49/260,947.68 = 103,051.49/x
  3. Step 3: Cross multiply
    189,092.49x = 260,947.68 × 103,051.49
  4. Step 4: Simplify right side
    189,092.49x = 26,891,047,888.41
  5. Step 5: Solve for x
    x = 26,891,047,888.41/189,092.49
  6. Step 6: Final answer
    x = 142,211.08

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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.