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Finding the Fourth Proportional to 96,674.70, 144,877.16 and 52,205.70

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Solution

The fourth proportional to 96,674.70, 144,877.16 and 52,205.70 is: 78,235.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,674.70 : 144,877.16 = 52,205.70 : x
  2. Step 2: Convert to fraction form
    96,674.70/144,877.16 = 52,205.70/x
  3. Step 3: Cross multiply
    96,674.70x = 144,877.16 × 52,205.70
  4. Step 4: Simplify right side
    96,674.70x = 7,563,413,551.81
  5. Step 5: Solve for x
    x = 7,563,413,551.81/96,674.70
  6. Step 6: Final answer
    x = 78,235.71

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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.