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Finding the Fourth Proportional to 96,205.10, 144,307.65 and 96,205.10

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Solution

The fourth proportional to 96,205.10, 144,307.65 and 96,205.10 is: 144,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,205.10 : 144,307.65 = 96,205.10 : x
  2. Step 2: Convert to fraction form
    96,205.10/144,307.65 = 96,205.10/x
  3. Step 3: Cross multiply
    96,205.10x = 144,307.65 × 96,205.10
  4. Step 4: Simplify right side
    96,205.10x = 13,883,131,899.02
  5. Step 5: Solve for x
    x = 13,883,131,899.02/96,205.10
  6. Step 6: Final answer
    x = 144,307.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.