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Finding the Fourth Proportional to 252,588.54, 378,554.74 and 102,654.36

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Solution

The fourth proportional to 252,588.54, 378,554.74 and 102,654.36 is: 153,848.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,588.54 : 378,554.74 = 102,654.36 : x
  2. Step 2: Convert to fraction form
    252,588.54/378,554.74 = 102,654.36/x
  3. Step 3: Cross multiply
    252,588.54x = 378,554.74 × 102,654.36
  4. Step 4: Simplify right side
    252,588.54x = 38,860,294,559.67
  5. Step 5: Solve for x
    x = 38,860,294,559.67/252,588.54
  6. Step 6: Final answer
    x = 153,848.21

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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.