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Finding the Fourth Proportional to 176,458.44, 264,659.78 and 146,663.96

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Solution

The fourth proportional to 176,458.44, 264,659.78 and 146,663.96 is: 219,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,458.44 : 264,659.78 = 146,663.96 : x
  2. Step 2: Convert to fraction form
    176,458.44/264,659.78 = 146,663.96/x
  3. Step 3: Cross multiply
    176,458.44x = 264,659.78 × 146,663.96
  4. Step 4: Simplify right side
    176,458.44x = 38,816,051,387.53
  5. Step 5: Solve for x
    x = 38,816,051,387.53/176,458.44
  6. Step 6: Final answer
    x = 219,972.77

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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.