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Finding the Fourth Proportional to 255,192, 382,659.30 and 148,610.40

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Solution

The fourth proportional to 255,192, 382,659.30 and 148,610.40 is: 222,840.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,192 : 382,659.30 = 148,610.40 : x
  2. Step 2: Convert to fraction form
    255,192/382,659.30 = 148,610.40/x
  3. Step 3: Cross multiply
    255,192x = 382,659.30 × 148,610.40
  4. Step 4: Simplify right side
    255,192x = 56,867,151,636.72
  5. Step 5: Solve for x
    x = 56,867,151,636.72/255,192
  6. Step 6: Final answer
    x = 222,840.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.