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Finding the Fourth Proportional to 285,643.16, 427,935 and 143,321.30

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Solution

The fourth proportional to 285,643.16, 427,935 and 143,321.30 is: 214,716.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,643.16 : 427,935 = 143,321.30 : x
  2. Step 2: Convert to fraction form
    285,643.16/427,935 = 143,321.30/x
  3. Step 3: Cross multiply
    285,643.16x = 427,935 × 143,321.30
  4. Step 4: Simplify right side
    285,643.16x = 61,332,200,515.50
  5. Step 5: Solve for x
    x = 61,332,200,515.50/285,643.16
  6. Step 6: Final answer
    x = 214,716.15

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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.