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Finding the Fourth Proportional to 176,021, 263,798.22 and 146,627.72

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Solution

The fourth proportional to 176,021, 263,798.22 and 146,627.72 is: 219,747.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,021 : 263,798.22 = 146,627.72 : x
  2. Step 2: Convert to fraction form
    176,021/263,798.22 = 146,627.72/x
  3. Step 3: Cross multiply
    176,021x = 263,798.22 × 146,627.72
  4. Step 4: Simplify right side
    176,021x = 38,680,131,538.66
  5. Step 5: Solve for x
    x = 38,680,131,538.66/176,021
  6. Step 6: Final answer
    x = 219,747.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.