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Finding the Fourth Proportional to 255,792.16, 383,359.87 and 122,472.64

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Solution

The fourth proportional to 255,792.16, 383,359.87 and 122,472.64 is: 183,551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,792.16 : 383,359.87 = 122,472.64 : x
  2. Step 2: Convert to fraction form
    255,792.16/383,359.87 = 122,472.64/x
  3. Step 3: Cross multiply
    255,792.16x = 383,359.87 × 122,472.64
  4. Step 4: Simplify right side
    255,792.16x = 46,951,095,348.96
  5. Step 5: Solve for x
    x = 46,951,095,348.96/255,792.16
  6. Step 6: Final answer
    x = 183,551.74

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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.