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Finding the Fourth Proportional to 171,648.60, 257,549.70 and 78,106.20

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Solution

The fourth proportional to 171,648.60, 257,549.70 and 78,106.20 is: 117,194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,648.60 : 257,549.70 = 78,106.20 : x
  2. Step 2: Convert to fraction form
    171,648.60/257,549.70 = 78,106.20/x
  3. Step 3: Cross multiply
    171,648.60x = 257,549.70 × 78,106.20
  4. Step 4: Simplify right side
    171,648.60x = 20,116,228,378.14
  5. Step 5: Solve for x
    x = 20,116,228,378.14/171,648.60
  6. Step 6: Final answer
    x = 117,194.25

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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.