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Finding the Fourth Proportional to 176,098, 263,848.84 and 125,923.36

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Solution

The fourth proportional to 176,098, 263,848.84 and 125,923.36 is: 188,671.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,098 : 263,848.84 = 125,923.36 : x
  2. Step 2: Convert to fraction form
    176,098/263,848.84 = 125,923.36/x
  3. Step 3: Cross multiply
    176,098x = 263,848.84 × 125,923.36
  4. Step 4: Simplify right side
    176,098x = 33,224,732,464.90
  5. Step 5: Solve for x
    x = 33,224,732,464.90/176,098
  6. Step 6: Final answer
    x = 188,671.83

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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.