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Finding the Fourth Proportional to 189,412.70, 261,381.29 and 103,369.50

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Solution

The fourth proportional to 189,412.70, 261,381.29 and 103,369.50 is: 142,645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,412.70 : 261,381.29 = 103,369.50 : x
  2. Step 2: Convert to fraction form
    189,412.70/261,381.29 = 103,369.50/x
  3. Step 3: Cross multiply
    189,412.70x = 261,381.29 × 103,369.50
  4. Step 4: Simplify right side
    189,412.70x = 27,018,852,739.81
  5. Step 5: Solve for x
    x = 27,018,852,739.81/189,412.70
  6. Step 6: Final answer
    x = 142,645.42

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