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Finding the Fourth Proportional to 152,190, 228,285.72 and 53,694

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Solution

The fourth proportional to 152,190, 228,285.72 and 53,694 is: 80,541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,190 : 228,285.72 = 53,694 : x
  2. Step 2: Convert to fraction form
    152,190/228,285.72 = 53,694/x
  3. Step 3: Cross multiply
    152,190x = 228,285.72 × 53,694
  4. Step 4: Simplify right side
    152,190x = 12,257,573,449.68
  5. Step 5: Solve for x
    x = 12,257,573,449.68/152,190
  6. Step 6: Final answer
    x = 80,541.25

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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.