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Finding the Fourth Proportional to 178,104.97, 245,777.47 and 97,531.10

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Solution

The fourth proportional to 178,104.97, 245,777.47 and 97,531.10 is: 134,588.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,104.97 : 245,777.47 = 97,531.10 : x
  2. Step 2: Convert to fraction form
    178,104.97/245,777.47 = 97,531.10/x
  3. Step 3: Cross multiply
    178,104.97x = 245,777.47 × 97,531.10
  4. Step 4: Simplify right side
    178,104.97x = 23,970,946,914.10
  5. Step 5: Solve for x
    x = 23,970,946,914.10/178,104.97
  6. Step 6: Final answer
    x = 134,588.87

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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.