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Finding the Fourth Proportional to 195,087.84, 269,220.96 and 105,663.84

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Solution

The fourth proportional to 195,087.84, 269,220.96 and 105,663.84 is: 145,815.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,087.84 : 269,220.96 = 105,663.84 : x
  2. Step 2: Convert to fraction form
    195,087.84/269,220.96 = 105,663.84/x
  3. Step 3: Cross multiply
    195,087.84x = 269,220.96 × 105,663.84
  4. Step 4: Simplify right side
    195,087.84x = 28,446,920,442.09
  5. Step 5: Solve for x
    x = 28,446,920,442.09/195,087.84
  6. Step 6: Final answer
    x = 145,815.96

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1.5x scale

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.