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Finding the Fourth Proportional to 117,412.40, 176,215.80 and 54,329.60

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Solution

The fourth proportional to 117,412.40, 176,215.80 and 54,329.60 is: 81,539.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,412.40 : 176,215.80 = 54,329.60 : x
  2. Step 2: Convert to fraction form
    117,412.40/176,215.80 = 54,329.60/x
  3. Step 3: Cross multiply
    117,412.40x = 176,215.80 × 54,329.60
  4. Step 4: Simplify right side
    117,412.40x = 9,573,733,927.68
  5. Step 5: Solve for x
    x = 9,573,733,927.68/117,412.40
  6. Step 6: Final answer
    x = 81,539.38

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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.