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Finding the Fourth Proportional to 216,057.70, 298,159.64 and 119,261.58

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Solution

The fourth proportional to 216,057.70, 298,159.64 and 119,261.58 is: 164,580.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,057.70 : 298,159.64 = 119,261.58 : x
  2. Step 2: Convert to fraction form
    216,057.70/298,159.64 = 119,261.58/x
  3. Step 3: Cross multiply
    216,057.70x = 298,159.64 × 119,261.58
  4. Step 4: Simplify right side
    216,057.70x = 35,558,989,758.63
  5. Step 5: Solve for x
    x = 35,558,989,758.63/216,057.70
  6. Step 6: Final answer
    x = 164,580.99

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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.