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Finding the Fourth Proportional to 180,594, 269,792.73 and 116,895.18

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Solution

The fourth proportional to 180,594, 269,792.73 and 116,895.18 is: 174,631.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,594 : 269,792.73 = 116,895.18 : x
  2. Step 2: Convert to fraction form
    180,594/269,792.73 = 116,895.18/x
  3. Step 3: Cross multiply
    180,594x = 269,792.73 × 116,895.18
  4. Step 4: Simplify right side
    180,594x = 31,537,469,736.04
  5. Step 5: Solve for x
    x = 31,537,469,736.04/180,594
  6. Step 6: Final answer
    x = 174,631.88

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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.