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Finding the Fourth Proportional to 287,865.80, 431,247.90 and 154,701.80

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Solution

The fourth proportional to 287,865.80, 431,247.90 and 154,701.80 is: 231,756.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,865.80 : 431,247.90 = 154,701.80 : x
  2. Step 2: Convert to fraction form
    287,865.80/431,247.90 = 154,701.80/x
  3. Step 3: Cross multiply
    287,865.80x = 431,247.90 × 154,701.80
  4. Step 4: Simplify right side
    287,865.80x = 66,714,826,376.22
  5. Step 5: Solve for x
    x = 66,714,826,376.22/287,865.80
  6. Step 6: Final answer
    x = 231,756.69

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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.