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Finding the Fourth Proportional to 264,700.94, 397,134.83 and 96,176.39

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Solution

The fourth proportional to 264,700.94, 397,134.83 and 96,176.39 is: 144,294.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,700.94 : 397,134.83 = 96,176.39 : x
  2. Step 2: Convert to fraction form
    264,700.94/397,134.83 = 96,176.39/x
  3. Step 3: Cross multiply
    264,700.94x = 397,134.83 × 96,176.39
  4. Step 4: Simplify right side
    264,700.94x = 38,194,992,547.43
  5. Step 5: Solve for x
    x = 38,194,992,547.43/264,700.94
  6. Step 6: Final answer
    x = 144,294.89

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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.