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Finding the Fourth Proportional to 254,113.99, 381,048.37 and 147,524.78

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Solution

The fourth proportional to 254,113.99, 381,048.37 and 147,524.78 is: 221,215.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,113.99 : 381,048.37 = 147,524.78 : x
  2. Step 2: Convert to fraction form
    254,113.99/381,048.37 = 147,524.78/x
  3. Step 3: Cross multiply
    254,113.99x = 381,048.37 × 147,524.78
  4. Step 4: Simplify right side
    254,113.99x = 56,214,076,267.47
  5. Step 5: Solve for x
    x = 56,214,076,267.47/254,113.99
  6. Step 6: Final answer
    x = 221,215.98

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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.