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Finding the Fourth Proportional to 263,880.50, 364,178.13 and 144,671.54

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Solution

The fourth proportional to 263,880.50, 364,178.13 and 144,671.54 is: 199,659.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,880.50 : 364,178.13 = 144,671.54 : x
  2. Step 2: Convert to fraction form
    263,880.50/364,178.13 = 144,671.54/x
  3. Step 3: Cross multiply
    263,880.50x = 364,178.13 × 144,671.54
  4. Step 4: Simplify right side
    263,880.50x = 52,686,210,901.42
  5. Step 5: Solve for x
    x = 52,686,210,901.42/263,880.50
  6. Step 6: Final answer
    x = 199,659.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.