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Finding the Fourth Proportional to 186,408.24, 257,249.82 and 105,833.10

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Solution

The fourth proportional to 186,408.24, 257,249.82 and 105,833.10 is: 146,053.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,408.24 : 257,249.82 = 105,833.10 : x
  2. Step 2: Convert to fraction form
    186,408.24/257,249.82 = 105,833.10/x
  3. Step 3: Cross multiply
    186,408.24x = 257,249.82 × 105,833.10
  4. Step 4: Simplify right side
    186,408.24x = 27,225,545,925.04
  5. Step 5: Solve for x
    x = 27,225,545,925.04/186,408.24
  6. Step 6: Final answer
    x = 146,053.34

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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.