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Finding the Fourth Proportional to 96,513.70, 144,511.35 and 96,513.70

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Solution

The fourth proportional to 96,513.70, 144,511.35 and 96,513.70 is: 144,511.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,513.70 : 144,511.35 = 96,513.70 : x
  2. Step 2: Convert to fraction form
    96,513.70/144,511.35 = 96,513.70/x
  3. Step 3: Cross multiply
    96,513.70x = 144,511.35 × 96,513.70
  4. Step 4: Simplify right side
    96,513.70x = 13,947,325,080.50
  5. Step 5: Solve for x
    x = 13,947,325,080.50/96,513.70
  6. Step 6: Final answer
    x = 144,511.35

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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.