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Finding the Fourth Proportional to 254,952.54, 382,374.14 and 105,153.98

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Solution

The fourth proportional to 254,952.54, 382,374.14 and 105,153.98 is: 157,708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,952.54 : 382,374.14 = 105,153.98 : x
  2. Step 2: Convert to fraction form
    254,952.54/382,374.14 = 105,153.98/x
  3. Step 3: Cross multiply
    254,952.54x = 382,374.14 × 105,153.98
  4. Step 4: Simplify right side
    254,952.54x = 40,208,160,232.44
  5. Step 5: Solve for x
    x = 40,208,160,232.44/254,952.54
  6. Step 6: Final answer
    x = 157,708.41

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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.