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Finding the Fourth Proportional to 255,205.74, 382,526.70 and 105,363.42

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Solution

The fourth proportional to 255,205.74, 382,526.70 and 105,363.42 is: 157,928.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,205.74 : 382,526.70 = 105,363.42 : x
  2. Step 2: Convert to fraction form
    255,205.74/382,526.70 = 105,363.42/x
  3. Step 3: Cross multiply
    255,205.74x = 382,526.70 × 105,363.42
  4. Step 4: Simplify right side
    255,205.74x = 40,304,321,353.31
  5. Step 5: Solve for x
    x = 40,304,321,353.31/255,205.74
  6. Step 6: Final answer
    x = 157,928.74

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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.