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Finding the Fourth Proportional to 194,235, 268,051.60 and 107,023.68

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Solution

The fourth proportional to 194,235, 268,051.60 and 107,023.68 is: 147,696.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,235 : 268,051.60 = 107,023.68 : x
  2. Step 2: Convert to fraction form
    194,235/268,051.60 = 107,023.68/x
  3. Step 3: Cross multiply
    194,235x = 268,051.60 × 107,023.68
  4. Step 4: Simplify right side
    194,235x = 28,687,868,661.89
  5. Step 5: Solve for x
    x = 28,687,868,661.89/194,235
  6. Step 6: Final answer
    x = 147,696.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.