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Finding the Fourth Proportional to 205,176, 307,133.37 and 174,908.76

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Solution

The fourth proportional to 205,176, 307,133.37 and 174,908.76 is: 261,825.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,176 : 307,133.37 = 174,908.76 : x
  2. Step 2: Convert to fraction form
    205,176/307,133.37 = 174,908.76/x
  3. Step 3: Cross multiply
    205,176x = 307,133.37 × 174,908.76
  4. Step 4: Simplify right side
    205,176x = 53,720,316,901.32
  5. Step 5: Solve for x
    x = 53,720,316,901.32/205,176
  6. Step 6: Final answer
    x = 261,825.54

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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.