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Finding the Fourth Proportional to 342,017.52, 513,047.44 and 114,333.63

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Solution

The fourth proportional to 342,017.52, 513,047.44 and 114,333.63 is: 171,507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,017.52 : 513,047.44 = 114,333.63 : x
  2. Step 2: Convert to fraction form
    342,017.52/513,047.44 = 114,333.63/x
  3. Step 3: Cross multiply
    342,017.52x = 513,047.44 × 114,333.63
  4. Step 4: Simplify right side
    342,017.52x = 58,658,573,753.27
  5. Step 5: Solve for x
    x = 58,658,573,753.27/342,017.52
  6. Step 6: Final answer
    x = 171,507.51

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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.