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Finding the Fourth Proportional to 256,166.01, 353,584.17 and 148,784.31

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Solution

The fourth proportional to 256,166.01, 353,584.17 and 148,784.31 is: 205,365.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,166.01 : 353,584.17 = 148,784.31 : x
  2. Step 2: Convert to fraction form
    256,166.01/353,584.17 = 148,784.31/x
  3. Step 3: Cross multiply
    256,166.01x = 353,584.17 × 148,784.31
  4. Step 4: Simplify right side
    256,166.01x = 52,607,776,760.37
  5. Step 5: Solve for x
    x = 52,607,776,760.37/256,166.01
  6. Step 6: Final answer
    x = 205,365.95

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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.