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Finding the Fourth Proportional to 177,951.65, 245,590.02 and 106,330.16

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Solution

The fourth proportional to 177,951.65, 245,590.02 and 106,330.16 is: 146,745.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,951.65 : 245,590.02 = 106,330.16 : x
  2. Step 2: Convert to fraction form
    177,951.65/245,590.02 = 106,330.16/x
  3. Step 3: Cross multiply
    177,951.65x = 245,590.02 × 106,330.16
  4. Step 4: Simplify right side
    177,951.65x = 26,113,624,893.05
  5. Step 5: Solve for x
    x = 26,113,624,893.05/177,951.65
  6. Step 6: Final answer
    x = 146,745.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.