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Finding the Fourth Proportional to 174,026, 261,007.68 and 79,233.60

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Solution

The fourth proportional to 174,026, 261,007.68 and 79,233.60 is: 118,836.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,026 : 261,007.68 = 79,233.60 : x
  2. Step 2: Convert to fraction form
    174,026/261,007.68 = 79,233.60/x
  3. Step 3: Cross multiply
    174,026x = 261,007.68 × 79,233.60
  4. Step 4: Simplify right side
    174,026x = 20,680,578,114.05
  5. Step 5: Solve for x
    x = 20,680,578,114.05/174,026
  6. Step 6: Final answer
    x = 118,836.14

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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.