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Finding the Fourth Proportional to 192,574.64, 288,803.64 and 52,315.04

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Solution

The fourth proportional to 192,574.64, 288,803.64 and 52,315.04 is: 78,456.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,574.64 : 288,803.64 = 52,315.04 : x
  2. Step 2: Convert to fraction form
    192,574.64/288,803.64 = 52,315.04/x
  3. Step 3: Cross multiply
    192,574.64x = 288,803.64 × 52,315.04
  4. Step 4: Simplify right side
    192,574.64x = 15,108,773,978.75
  5. Step 5: Solve for x
    x = 15,108,773,978.75/192,574.64
  6. Step 6: Final answer
    x = 78,456.72

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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.