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Finding the Fourth Proportional to 286,165.98, 429,292.79 and 93,979.93

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Solution

The fourth proportional to 286,165.98, 429,292.79 and 93,979.93 is: 140,984.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,165.98 : 429,292.79 = 93,979.93 : x
  2. Step 2: Convert to fraction form
    286,165.98/429,292.79 = 93,979.93/x
  3. Step 3: Cross multiply
    286,165.98x = 429,292.79 × 93,979.93
  4. Step 4: Simplify right side
    286,165.98x = 40,344,906,353.70
  5. Step 5: Solve for x
    x = 40,344,906,353.70/286,165.98
  6. Step 6: Final answer
    x = 140,984.29

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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.