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Finding the Fourth Proportional to 171,942.40, 257,913.60 and 47,283.40

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Solution

The fourth proportional to 171,942.40, 257,913.60 and 47,283.40 is: 70,925.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,942.40 : 257,913.60 = 47,283.40 : x
  2. Step 2: Convert to fraction form
    171,942.40/257,913.60 = 47,283.40/x
  3. Step 3: Cross multiply
    171,942.40x = 257,913.60 × 47,283.40
  4. Step 4: Simplify right side
    171,942.40x = 12,195,031,914.24
  5. Step 5: Solve for x
    x = 12,195,031,914.24/171,942.40
  6. Step 6: Final answer
    x = 70,925.10

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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.