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Finding the Fourth Proportional to 148,197, 204,492.74 and 84,531

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Solution

The fourth proportional to 148,197, 204,492.74 and 84,531 is: 116,641.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,197 : 204,492.74 = 84,531 : x
  2. Step 2: Convert to fraction form
    148,197/204,492.74 = 84,531/x
  3. Step 3: Cross multiply
    148,197x = 204,492.74 × 84,531
  4. Step 4: Simplify right side
    148,197x = 17,285,975,804.94
  5. Step 5: Solve for x
    x = 17,285,975,804.94/148,197
  6. Step 6: Final answer
    x = 116,641.87

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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.