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Finding the Fourth Proportional to 255,789, 352,986.03 and 146,911.14

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Solution

The fourth proportional to 255,789, 352,986.03 and 146,911.14 is: 202,735.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,789 : 352,986.03 = 146,911.14 : x
  2. Step 2: Convert to fraction form
    255,789/352,986.03 = 146,911.14/x
  3. Step 3: Cross multiply
    255,789x = 352,986.03 × 146,911.14
  4. Step 4: Simplify right side
    255,789x = 51,857,580,071.37
  5. Step 5: Solve for x
    x = 51,857,580,071.37/255,789
  6. Step 6: Final answer
    x = 202,735.77

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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.