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Finding the Fourth Proportional to 252,033.51, 377,757.75 and 102,087.32

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Solution

The fourth proportional to 252,033.51, 377,757.75 and 102,087.32 is: 153,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,033.51 : 377,757.75 = 102,087.32 : x
  2. Step 2: Convert to fraction form
    252,033.51/377,757.75 = 102,087.32/x
  3. Step 3: Cross multiply
    252,033.51x = 377,757.75 × 102,087.32
  4. Step 4: Simplify right side
    252,033.51x = 38,564,276,306.73
  5. Step 5: Solve for x
    x = 38,564,276,306.73/252,033.51
  6. Step 6: Final answer
    x = 153,012.50

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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.