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Finding the Fourth Proportional to 171,691.48, 257,205.10 and 96,583.40

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Solution

The fourth proportional to 171,691.48, 257,205.10 and 96,583.40 is: 144,688.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,691.48 : 257,205.10 = 96,583.40 : x
  2. Step 2: Convert to fraction form
    171,691.48/257,205.10 = 96,583.40/x
  3. Step 3: Cross multiply
    171,691.48x = 257,205.10 × 96,583.40
  4. Step 4: Simplify right side
    171,691.48x = 24,841,743,055.34
  5. Step 5: Solve for x
    x = 24,841,743,055.34/171,691.48
  6. Step 6: Final answer
    x = 144,688.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.