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Finding the Fourth Proportional to 294,108.87, 405,870.20 and 166,784.47

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Solution

The fourth proportional to 294,108.87, 405,870.20 and 166,784.47 is: 230,162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,108.87 : 405,870.20 = 166,784.47 : x
  2. Step 2: Convert to fraction form
    294,108.87/405,870.20 = 166,784.47/x
  3. Step 3: Cross multiply
    294,108.87x = 405,870.20 × 166,784.47
  4. Step 4: Simplify right side
    294,108.87x = 67,692,845,598.08
  5. Step 5: Solve for x
    x = 67,692,845,598.08/294,108.87
  6. Step 6: Final answer
    x = 230,162.54

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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.