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Finding the Fourth Proportional to 215,142.57, 296,585.51 and 142,423.61

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Solution

The fourth proportional to 215,142.57, 296,585.51 and 142,423.61 is: 196,338.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,142.57 : 296,585.51 = 142,423.61 : x
  2. Step 2: Convert to fraction form
    215,142.57/296,585.51 = 142,423.61/x
  3. Step 3: Cross multiply
    215,142.57x = 296,585.51 × 142,423.61
  4. Step 4: Simplify right side
    215,142.57x = 42,240,776,812.85
  5. Step 5: Solve for x
    x = 42,240,776,812.85/215,142.57
  6. Step 6: Final answer
    x = 196,338.53

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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.