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Finding the Fourth Proportional to 143,646.16, 198,235.20 and 83,216.92

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Solution

The fourth proportional to 143,646.16, 198,235.20 and 83,216.92 is: 114,841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,646.16 : 198,235.20 = 83,216.92 : x
  2. Step 2: Convert to fraction form
    143,646.16/198,235.20 = 83,216.92/x
  3. Step 3: Cross multiply
    143,646.16x = 198,235.20 × 83,216.92
  4. Step 4: Simplify right side
    143,646.16x = 16,496,522,779.58
  5. Step 5: Solve for x
    x = 16,496,522,779.58/143,646.16
  6. Step 6: Final answer
    x = 114,841.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.