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Finding the Fourth Proportional to 258,440.63, 356,595.80 and 150,989.91

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Solution

The fourth proportional to 258,440.63, 356,595.80 and 150,989.91 is: 208,335.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,440.63 : 356,595.80 = 150,989.91 : x
  2. Step 2: Convert to fraction form
    258,440.63/356,595.80 = 150,989.91/x
  3. Step 3: Cross multiply
    258,440.63x = 356,595.80 × 150,989.91
  4. Step 4: Simplify right side
    258,440.63x = 53,842,367,748.38
  5. Step 5: Solve for x
    x = 53,842,367,748.38/258,440.63
  6. Step 6: Final answer
    x = 208,335.54

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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.