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Finding the Fourth Proportional to 103,114.80, 154,369.80 and 76,935.60

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Solution

The fourth proportional to 103,114.80, 154,369.80 and 76,935.60 is: 115,177.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,114.80 : 154,369.80 = 76,935.60 : x
  2. Step 2: Convert to fraction form
    103,114.80/154,369.80 = 76,935.60/x
  3. Step 3: Cross multiply
    103,114.80x = 154,369.80 × 76,935.60
  4. Step 4: Simplify right side
    103,114.80x = 11,876,533,184.88
  5. Step 5: Solve for x
    x = 11,876,533,184.88/103,114.80
  6. Step 6: Final answer
    x = 115,177.77

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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.