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Finding the Fourth Proportional to 264,511.65, 396,827.19 and 96,031.50

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Solution

The fourth proportional to 264,511.65, 396,827.19 and 96,031.50 is: 144,068.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,511.65 : 396,827.19 = 96,031.50 : x
  2. Step 2: Convert to fraction form
    264,511.65/396,827.19 = 96,031.50/x
  3. Step 3: Cross multiply
    264,511.65x = 396,827.19 × 96,031.50
  4. Step 4: Simplify right side
    264,511.65x = 38,107,910,296.49
  5. Step 5: Solve for x
    x = 38,107,910,296.49/264,511.65
  6. Step 6: Final answer
    x = 144,068.93

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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.