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Finding the Fourth Proportional to 286,099.98, 428,979.66 and 96,513.71

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Solution

The fourth proportional to 286,099.98, 428,979.66 and 96,513.71 is: 144,713.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,099.98 : 428,979.66 = 96,513.71 : x
  2. Step 2: Convert to fraction form
    286,099.98/428,979.66 = 96,513.71/x
  3. Step 3: Cross multiply
    286,099.98x = 428,979.66 × 96,513.71
  4. Step 4: Simplify right side
    286,099.98x = 41,402,416,356.24
  5. Step 5: Solve for x
    x = 41,402,416,356.24/286,099.98
  6. Step 6: Final answer
    x = 144,713.10

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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.