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Finding the Fourth Proportional to 255,029.52, 382,100.94 and 178,966.74

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Solution

The fourth proportional to 255,029.52, 382,100.94 and 178,966.74 is: 268,139.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,029.52 : 382,100.94 = 178,966.74 : x
  2. Step 2: Convert to fraction form
    255,029.52/382,100.94 = 178,966.74/x
  3. Step 3: Cross multiply
    255,029.52x = 382,100.94 × 178,966.74
  4. Step 4: Simplify right side
    255,029.52x = 68,383,359,582.74
  5. Step 5: Solve for x
    x = 68,383,359,582.74/255,029.52
  6. Step 6: Final answer
    x = 268,139.00

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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.