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Finding the Fourth Proportional to 200,895.90, 301,689.45 and 142,143.90

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Solution

The fourth proportional to 200,895.90, 301,689.45 and 142,143.90 is: 213,460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,895.90 : 301,689.45 = 142,143.90 : x
  2. Step 2: Convert to fraction form
    200,895.90/301,689.45 = 142,143.90/x
  3. Step 3: Cross multiply
    200,895.90x = 301,689.45 × 142,143.90
  4. Step 4: Simplify right side
    200,895.90x = 42,883,315,011.86
  5. Step 5: Solve for x
    x = 42,883,315,011.86/200,895.90
  6. Step 6: Final answer
    x = 213,460.38

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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.