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Finding the Fourth Proportional to 264,703.70, 396,950.42 and 96,132.06

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Solution

The fourth proportional to 264,703.70, 396,950.42 and 96,132.06 is: 144,159.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,703.70 : 396,950.42 = 96,132.06 : x
  2. Step 2: Convert to fraction form
    264,703.70/396,950.42 = 96,132.06/x
  3. Step 3: Cross multiply
    264,703.70x = 396,950.42 × 96,132.06
  4. Step 4: Simplify right side
    264,703.70x = 38,159,661,592.47
  5. Step 5: Solve for x
    x = 38,159,661,592.47/264,703.70
  6. Step 6: Final answer
    x = 144,159.91

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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.