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Finding the Fourth Proportional to 171,830.84, 257,783.31 and 51,877.88

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Solution

The fourth proportional to 171,830.84, 257,783.31 and 51,877.88 is: 77,828.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,830.84 : 257,783.31 = 51,877.88 : x
  2. Step 2: Convert to fraction form
    171,830.84/257,783.31 = 51,877.88/x
  3. Step 3: Cross multiply
    171,830.84x = 257,783.31 × 51,877.88
  4. Step 4: Simplify right side
    171,830.84x = 13,373,251,622.18
  5. Step 5: Solve for x
    x = 13,373,251,622.18/171,830.84
  6. Step 6: Final answer
    x = 77,828.01

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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.