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Finding the Fourth Proportional to 228,293.76, 315,072 and 132,804.48

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Solution

The fourth proportional to 228,293.76, 315,072 and 132,804.48 is: 183,285.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,293.76 : 315,072 = 132,804.48 : x
  2. Step 2: Convert to fraction form
    228,293.76/315,072 = 132,804.48/x
  3. Step 3: Cross multiply
    228,293.76x = 315,072 × 132,804.48
  4. Step 4: Simplify right side
    228,293.76x = 41,842,973,122.56
  5. Step 5: Solve for x
    x = 41,842,973,122.56/228,293.76
  6. Step 6: Final answer
    x = 183,285.66

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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.