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Finding the Fourth Proportional to 257,416.40, 386,176.04 and 88,942.80

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Solution

The fourth proportional to 257,416.40, 386,176.04 and 88,942.80 is: 133,431.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,416.40 : 386,176.04 = 88,942.80 : x
  2. Step 2: Convert to fraction form
    257,416.40/386,176.04 = 88,942.80/x
  3. Step 3: Cross multiply
    257,416.40x = 386,176.04 × 88,942.80
  4. Step 4: Simplify right side
    257,416.40x = 34,347,578,290.51
  5. Step 5: Solve for x
    x = 34,347,578,290.51/257,416.40
  6. Step 6: Final answer
    x = 133,431.97

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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.