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Finding the Fourth Proportional to 180,652.98, 269,880.64 and 116,954.16

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Solution

The fourth proportional to 180,652.98, 269,880.64 and 116,954.16 is: 174,719.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,652.98 : 269,880.64 = 116,954.16 : x
  2. Step 2: Convert to fraction form
    180,652.98/269,880.64 = 116,954.16/x
  3. Step 3: Cross multiply
    180,652.98x = 269,880.64 × 116,954.16
  4. Step 4: Simplify right side
    180,652.98x = 31,563,663,551.46
  5. Step 5: Solve for x
    x = 31,563,663,551.46/180,652.98
  6. Step 6: Final answer
    x = 174,719.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.