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Finding the Fourth Proportional to 286,037.74, 429,074.83 and 96,517.18

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Solution

The fourth proportional to 286,037.74, 429,074.83 and 96,517.18 is: 144,781.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,037.74 : 429,074.83 = 96,517.18 : x
  2. Step 2: Convert to fraction form
    286,037.74/429,074.83 = 96,517.18/x
  3. Step 3: Cross multiply
    286,037.74x = 429,074.83 × 96,517.18
  4. Step 4: Simplify right side
    286,037.74x = 41,413,090,455.21
  5. Step 5: Solve for x
    x = 41,413,090,455.21/286,037.74
  6. Step 6: Final answer
    x = 144,781.91

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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.