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Finding the Fourth Proportional to 278,081.40, 417,122.10 and 151,672.80

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Solution

The fourth proportional to 278,081.40, 417,122.10 and 151,672.80 is: 227,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,081.40 : 417,122.10 = 151,672.80 : x
  2. Step 2: Convert to fraction form
    278,081.40/417,122.10 = 151,672.80/x
  3. Step 3: Cross multiply
    278,081.40x = 417,122.10 × 151,672.80
  4. Step 4: Simplify right side
    278,081.40x = 63,266,076,848.88
  5. Step 5: Solve for x
    x = 63,266,076,848.88/278,081.40
  6. Step 6: Final answer
    x = 227,509.20

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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.