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Finding the Fourth Proportional to 152,271.57, 228,422.57 and 52,418.55

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Solution

The fourth proportional to 152,271.57, 228,422.57 and 52,418.55 is: 78,633.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,271.57 : 228,422.57 = 52,418.55 : x
  2. Step 2: Convert to fraction form
    152,271.57/228,422.57 = 52,418.55/x
  3. Step 3: Cross multiply
    152,271.57x = 228,422.57 × 52,418.55
  4. Step 4: Simplify right side
    152,271.57x = 11,973,579,644.58
  5. Step 5: Solve for x
    x = 11,973,579,644.58/152,271.57
  6. Step 6: Final answer
    x = 78,633.06

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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.