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Finding the Fourth Proportional to 102,793.60, 154,075.20 and 52,854.40

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Solution

The fourth proportional to 102,793.60, 154,075.20 and 52,854.40 is: 79,222.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,793.60 : 154,075.20 = 52,854.40 : x
  2. Step 2: Convert to fraction form
    102,793.60/154,075.20 = 52,854.40/x
  3. Step 3: Cross multiply
    102,793.60x = 154,075.20 × 52,854.40
  4. Step 4: Simplify right side
    102,793.60x = 8,143,552,250.88
  5. Step 5: Solve for x
    x = 8,143,552,250.88/102,793.60
  6. Step 6: Final answer
    x = 79,222.37

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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.