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Finding the Fourth Proportional to 102,785.80, 154,075.20 and 42,847.46

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Solution

The fourth proportional to 102,785.80, 154,075.20 and 42,847.46 is: 64,228.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,785.80 : 154,075.20 = 42,847.46 : x
  2. Step 2: Convert to fraction form
    102,785.80/154,075.20 = 42,847.46/x
  3. Step 3: Cross multiply
    102,785.80x = 154,075.20 × 42,847.46
  4. Step 4: Simplify right side
    102,785.80x = 6,601,731,338.15
  5. Step 5: Solve for x
    x = 6,601,731,338.15/102,785.80
  6. Step 6: Final answer
    x = 64,228.05

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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.