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Finding the Fourth Proportional to 216,470.47, 298,738.48 and 120,977.17

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Solution

The fourth proportional to 216,470.47, 298,738.48 and 120,977.17 is: 166,953.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,470.47 : 298,738.48 = 120,977.17 : x
  2. Step 2: Convert to fraction form
    216,470.47/298,738.48 = 120,977.17/x
  3. Step 3: Cross multiply
    216,470.47x = 298,738.48 × 120,977.17
  4. Step 4: Simplify right side
    216,470.47x = 36,140,535,058.04
  5. Step 5: Solve for x
    x = 36,140,535,058.04/216,470.47
  6. Step 6: Final answer
    x = 166,953.65

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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.