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Finding the Fourth Proportional to 117,619.20, 176,428.80 and 102,412.80

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Solution

The fourth proportional to 117,619.20, 176,428.80 and 102,412.80 is: 153,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,619.20 : 176,428.80 = 102,412.80 : x
  2. Step 2: Convert to fraction form
    117,619.20/176,428.80 = 102,412.80/x
  3. Step 3: Cross multiply
    117,619.20x = 176,428.80 × 102,412.80
  4. Step 4: Simplify right side
    117,619.20x = 18,068,567,408.64
  5. Step 5: Solve for x
    x = 18,068,567,408.64/117,619.20
  6. Step 6: Final answer
    x = 153,619.20

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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.