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Finding the Fourth Proportional to 205,187.84, 282,527.60 and 174,905.28

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Solution

The fourth proportional to 205,187.84, 282,527.60 and 174,905.28 is: 240,830.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,187.84 : 282,527.60 = 174,905.28 : x
  2. Step 2: Convert to fraction form
    205,187.84/282,527.60 = 174,905.28/x
  3. Step 3: Cross multiply
    205,187.84x = 282,527.60 × 174,905.28
  4. Step 4: Simplify right side
    205,187.84x = 49,415,568,985.73
  5. Step 5: Solve for x
    x = 49,415,568,985.73/205,187.84
  6. Step 6: Final answer
    x = 240,830.88

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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.