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Finding the Fourth Proportional to 294,053.96, 405,839.76 and 166,702.52

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Solution

The fourth proportional to 294,053.96, 405,839.76 and 166,702.52 is: 230,075.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,053.96 : 405,839.76 = 166,702.52 : x
  2. Step 2: Convert to fraction form
    294,053.96/405,839.76 = 166,702.52/x
  3. Step 3: Cross multiply
    294,053.96x = 405,839.76 × 166,702.52
  4. Step 4: Simplify right side
    294,053.96x = 67,654,510,708.20
  5. Step 5: Solve for x
    x = 67,654,510,708.20/294,053.96
  6. Step 6: Final answer
    x = 230,075.16

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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.