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Finding the Fourth Proportional to 102,656, 154,045.44 and 44,288

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Solution

The fourth proportional to 102,656, 154,045.44 and 44,288 is: 66,458.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,656 : 154,045.44 = 44,288 : x
  2. Step 2: Convert to fraction form
    102,656/154,045.44 = 44,288/x
  3. Step 3: Cross multiply
    102,656x = 154,045.44 × 44,288
  4. Step 4: Simplify right side
    102,656x = 6,822,364,446.72
  5. Step 5: Solve for x
    x = 6,822,364,446.72/102,656
  6. Step 6: Final answer
    x = 66,458.51

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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.