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Finding the Fourth Proportional to 257,624.96, 386,314.72 and 95,466.20

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Solution

The fourth proportional to 257,624.96, 386,314.72 and 95,466.20 is: 143,153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,624.96 : 386,314.72 = 95,466.20 : x
  2. Step 2: Convert to fraction form
    257,624.96/386,314.72 = 95,466.20/x
  3. Step 3: Cross multiply
    257,624.96x = 386,314.72 × 95,466.20
  4. Step 4: Simplify right side
    257,624.96x = 36,879,996,152.22
  5. Step 5: Solve for x
    x = 36,879,996,152.22/257,624.96
  6. Step 6: Final answer
    x = 143,153.82

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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.