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Finding the Fourth Proportional to 212,149.14, 292,763.61 and 157,943.67

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Solution

The fourth proportional to 212,149.14, 292,763.61 and 157,943.67 is: 217,960.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,149.14 : 292,763.61 = 157,943.67 : x
  2. Step 2: Convert to fraction form
    212,149.14/292,763.61 = 157,943.67/x
  3. Step 3: Cross multiply
    212,149.14x = 292,763.61 × 157,943.67
  4. Step 4: Simplify right side
    212,149.14x = 46,240,159,005.85
  5. Step 5: Solve for x
    x = 46,240,159,005.85/212,149.14
  6. Step 6: Final answer
    x = 217,960.62

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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.