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Finding the Fourth Proportional to 280,982.88, 387,756.12 and 153,658.44

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Solution

The fourth proportional to 280,982.88, 387,756.12 and 153,658.44 is: 212,048.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,982.88 : 387,756.12 = 153,658.44 : x
  2. Step 2: Convert to fraction form
    280,982.88/387,756.12 = 153,658.44/x
  3. Step 3: Cross multiply
    280,982.88x = 387,756.12 × 153,658.44
  4. Step 4: Simplify right side
    280,982.88x = 59,582,000,499.65
  5. Step 5: Solve for x
    x = 59,582,000,499.65/280,982.88
  6. Step 6: Final answer
    x = 212,048.51

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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.