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Finding the Fourth Proportional to 595,095.20, 892,642.80 and 151,863.20

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Solution

The fourth proportional to 595,095.20, 892,642.80 and 151,863.20 is: 227,794.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,095.20 : 892,642.80 = 151,863.20 : x
  2. Step 2: Convert to fraction form
    595,095.20/892,642.80 = 151,863.20/x
  3. Step 3: Cross multiply
    595,095.20x = 892,642.80 × 151,863.20
  4. Step 4: Simplify right side
    595,095.20x = 135,559,592,064.96
  5. Step 5: Solve for x
    x = 135,559,592,064.96/595,095.20
  6. Step 6: Final answer
    x = 227,794.80

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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.