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Finding the Fourth Proportional to 280,524.90, 387,125.76 and 153,200.49

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Solution

The fourth proportional to 280,524.90, 387,125.76 and 153,200.49 is: 211,417.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,524.90 : 387,125.76 = 153,200.49 : x
  2. Step 2: Convert to fraction form
    280,524.90/387,125.76 = 153,200.49/x
  3. Step 3: Cross multiply
    280,524.90x = 387,125.76 × 153,200.49
  4. Step 4: Simplify right side
    280,524.90x = 59,307,856,123.62
  5. Step 5: Solve for x
    x = 59,307,856,123.62/280,524.90
  6. Step 6: Final answer
    x = 211,417.44

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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.