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Finding the Fourth Proportional to 294,114.84, 405,950.58 and 166,864.92

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Solution

The fourth proportional to 294,114.84, 405,950.58 and 166,864.92 is: 230,314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,114.84 : 405,950.58 = 166,864.92 : x
  2. Step 2: Convert to fraction form
    294,114.84/405,950.58 = 166,864.92/x
  3. Step 3: Cross multiply
    294,114.84x = 405,950.58 × 166,864.92
  4. Step 4: Simplify right side
    294,114.84x = 67,738,911,055.65
  5. Step 5: Solve for x
    x = 67,738,911,055.65/294,114.84
  6. Step 6: Final answer
    x = 230,314.50

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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.