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Finding the Fourth Proportional to 78,605.40, 117,908.10 and 54,985.80

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Solution

The fourth proportional to 78,605.40, 117,908.10 and 54,985.80 is: 82,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,605.40 : 117,908.10 = 54,985.80 : x
  2. Step 2: Convert to fraction form
    78,605.40/117,908.10 = 54,985.80/x
  3. Step 3: Cross multiply
    78,605.40x = 117,908.10 × 54,985.80
  4. Step 4: Simplify right side
    78,605.40x = 6,483,271,204.98
  5. Step 5: Solve for x
    x = 6,483,271,204.98/78,605.40
  6. Step 6: Final answer
    x = 82,478.70

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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.