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Finding the Fourth Proportional to 117,616.80, 176,770.80 and 102,410.40

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Solution

The fourth proportional to 117,616.80, 176,770.80 and 102,410.40 is: 153,916.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,616.80 : 176,770.80 = 102,410.40 : x
  2. Step 2: Convert to fraction form
    117,616.80/176,770.80 = 102,410.40/x
  3. Step 3: Cross multiply
    117,616.80x = 176,770.80 × 102,410.40
  4. Step 4: Simplify right side
    117,616.80x = 18,103,168,336.32
  5. Step 5: Solve for x
    x = 18,103,168,336.32/117,616.80
  6. Step 6: Final answer
    x = 153,916.52

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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.