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Finding the Fourth Proportional to 171,644.10, 257,466.15 and 78,332.10

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Solution

The fourth proportional to 171,644.10, 257,466.15 and 78,332.10 is: 117,498.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,644.10 : 257,466.15 = 78,332.10 : x
  2. Step 2: Convert to fraction form
    171,644.10/257,466.15 = 78,332.10/x
  3. Step 3: Cross multiply
    171,644.10x = 257,466.15 × 78,332.10
  4. Step 4: Simplify right side
    171,644.10x = 20,167,864,208.42
  5. Step 5: Solve for x
    x = 20,167,864,208.42/171,644.10
  6. Step 6: Final answer
    x = 117,498.15

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