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Finding the Fourth Proportional to 294,123.27, 405,875.30 and 166,810.71

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Solution

The fourth proportional to 294,123.27, 405,875.30 and 166,810.71 is: 230,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,123.27 : 405,875.30 = 166,810.71 : x
  2. Step 2: Convert to fraction form
    294,123.27/405,875.30 = 166,810.71/x
  3. Step 3: Cross multiply
    294,123.27x = 405,875.30 × 166,810.71
  4. Step 4: Simplify right side
    294,123.27x = 67,704,346,130.41
  5. Step 5: Solve for x
    x = 67,704,346,130.41/294,123.27
  6. Step 6: Final answer
    x = 230,190.38

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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.