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Finding the Fourth Proportional to 176,448.42, 264,644.82 and 146,653.92

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Solution

The fourth proportional to 176,448.42, 264,644.82 and 146,653.92 is: 219,957.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,448.42 : 264,644.82 = 146,653.92 : x
  2. Step 2: Convert to fraction form
    176,448.42/264,644.82 = 146,653.92/x
  3. Step 3: Cross multiply
    176,448.42x = 264,644.82 × 146,653.92
  4. Step 4: Simplify right side
    176,448.42x = 38,811,200,260.69
  5. Step 5: Solve for x
    x = 38,811,200,260.69/176,448.42
  6. Step 6: Final answer
    x = 219,957.77

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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.