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Finding the Fourth Proportional to 260,123.32, 389,776.74 and 154,884.88

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Solution

The fourth proportional to 260,123.32, 389,776.74 and 154,884.88 is: 232,084.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,123.32 : 389,776.74 = 154,884.88 : x
  2. Step 2: Convert to fraction form
    260,123.32/389,776.74 = 154,884.88/x
  3. Step 3: Cross multiply
    260,123.32x = 389,776.74 × 154,884.88
  4. Step 4: Simplify right side
    260,123.32x = 60,370,523,601.69
  5. Step 5: Solve for x
    x = 60,370,523,601.69/260,123.32
  6. Step 6: Final answer
    x = 232,084.24

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1.5x scale

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.