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Finding the Fourth Proportional to 148,199, 204,495.52 and 84,533

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Solution

The fourth proportional to 148,199, 204,495.52 and 84,533 is: 116,644.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,199 : 204,495.52 = 84,533 : x
  2. Step 2: Convert to fraction form
    148,199/204,495.52 = 84,533/x
  3. Step 3: Cross multiply
    148,199x = 204,495.52 × 84,533
  4. Step 4: Simplify right side
    148,199x = 17,286,619,792.16
  5. Step 5: Solve for x
    x = 17,286,619,792.16/148,199
  6. Step 6: Final answer
    x = 116,644.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.