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Finding the Fourth Proportional to 215,029.70, 296,782.11 and 142,433.45

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Solution

The fourth proportional to 215,029.70, 296,782.11 and 142,433.45 is: 196,585.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,029.70 : 296,782.11 = 142,433.45 : x
  2. Step 2: Convert to fraction form
    215,029.70/296,782.11 = 142,433.45/x
  3. Step 3: Cross multiply
    215,029.70x = 296,782.11 × 142,433.45
  4. Step 4: Simplify right side
    215,029.70x = 42,271,699,825.58
  5. Step 5: Solve for x
    x = 42,271,699,825.58/215,029.70
  6. Step 6: Final answer
    x = 196,585.40

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