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Finding the Fourth Proportional to 171,207.40, 256,830.30 and 52,877.80

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Solution

The fourth proportional to 171,207.40, 256,830.30 and 52,877.80 is: 79,322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,207.40 : 256,830.30 = 52,877.80 : x
  2. Step 2: Convert to fraction form
    171,207.40/256,830.30 = 52,877.80/x
  3. Step 3: Cross multiply
    171,207.40x = 256,830.30 × 52,877.80
  4. Step 4: Simplify right side
    171,207.40x = 13,580,621,237.34
  5. Step 5: Solve for x
    x = 13,580,621,237.34/171,207.40
  6. Step 6: Final answer
    x = 79,322.63

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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.