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Finding the Fourth Proportional to 255,178.06, 382,908.03 and 105,383.50

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Solution

The fourth proportional to 255,178.06, 382,908.03 and 105,383.50 is: 158,133.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,178.06 : 382,908.03 = 105,383.50 : x
  2. Step 2: Convert to fraction form
    255,178.06/382,908.03 = 105,383.50/x
  3. Step 3: Cross multiply
    255,178.06x = 382,908.03 × 105,383.50
  4. Step 4: Simplify right side
    255,178.06x = 40,352,188,379.51
  5. Step 5: Solve for x
    x = 40,352,188,379.51/255,178.06
  6. Step 6: Final answer
    x = 158,133.46

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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.