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Finding the Fourth Proportional to 170,274.81, 255,452.16 and 51,946.11

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Solution

The fourth proportional to 170,274.81, 255,452.16 and 51,946.11 is: 77,931.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,274.81 : 255,452.16 = 51,946.11 : x
  2. Step 2: Convert to fraction form
    170,274.81/255,452.16 = 51,946.11/x
  3. Step 3: Cross multiply
    170,274.81x = 255,452.16 × 51,946.11
  4. Step 4: Simplify right side
    170,274.81x = 13,269,745,759.60
  5. Step 5: Solve for x
    x = 13,269,745,759.60/170,274.81
  6. Step 6: Final answer
    x = 77,931.35

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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.