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Finding the Fourth Proportional to 134,825.40, 186,096.06 and 78,255

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Solution

The fourth proportional to 134,825.40, 186,096.06 and 78,255 is: 108,013.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,825.40 : 186,096.06 = 78,255 : x
  2. Step 2: Convert to fraction form
    134,825.40/186,096.06 = 78,255/x
  3. Step 3: Cross multiply
    134,825.40x = 186,096.06 × 78,255
  4. Step 4: Simplify right side
    134,825.40x = 14,562,947,175.30
  5. Step 5: Solve for x
    x = 14,562,947,175.30/134,825.40
  6. Step 6: Final answer
    x = 108,013.38

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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.