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Finding the Fourth Proportional to 294,102.84, 405,934.02 and 166,852.92

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Solution

The fourth proportional to 294,102.84, 405,934.02 and 166,852.92 is: 230,297.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,102.84 : 405,934.02 = 166,852.92 : x
  2. Step 2: Convert to fraction form
    294,102.84/405,934.02 = 166,852.92/x
  3. Step 3: Cross multiply
    294,102.84x = 405,934.02 × 166,852.92
  4. Step 4: Simplify right side
    294,102.84x = 67,731,276,564.34
  5. Step 5: Solve for x
    x = 67,731,276,564.34/294,102.84
  6. Step 6: Final answer
    x = 230,297.93

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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.