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Finding the Fourth Proportional to 172,522.41, 238,095.50 and 97,085.49

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Solution

The fourth proportional to 172,522.41, 238,095.50 and 97,085.49 is: 133,986.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,522.41 : 238,095.50 = 97,085.49 : x
  2. Step 2: Convert to fraction form
    172,522.41/238,095.50 = 97,085.49/x
  3. Step 3: Cross multiply
    172,522.41x = 238,095.50 × 97,085.49
  4. Step 4: Simplify right side
    172,522.41x = 23,115,617,452.12
  5. Step 5: Solve for x
    x = 23,115,617,452.12/172,522.41
  6. Step 6: Final answer
    x = 133,986.18

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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.