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Finding the Fourth Proportional to 117,904.60, 176,468.10 and 82,912.60

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Solution

The fourth proportional to 117,904.60, 176,468.10 and 82,912.60 is: 124,095.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,904.60 : 176,468.10 = 82,912.60 : x
  2. Step 2: Convert to fraction form
    117,904.60/176,468.10 = 82,912.60/x
  3. Step 3: Cross multiply
    117,904.60x = 176,468.10 × 82,912.60
  4. Step 4: Simplify right side
    117,904.60x = 14,631,428,988.06
  5. Step 5: Solve for x
    x = 14,631,428,988.06/117,904.60
  6. Step 6: Final answer
    x = 124,095.49

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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.