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Finding the Fourth Proportional to 171,351.64, 257,088.95 and 76,573.88

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Solution

The fourth proportional to 171,351.64, 257,088.95 and 76,573.88 is: 114,888.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,351.64 : 257,088.95 = 76,573.88 : x
  2. Step 2: Convert to fraction form
    171,351.64/257,088.95 = 76,573.88/x
  3. Step 3: Cross multiply
    171,351.64x = 257,088.95 × 76,573.88
  4. Step 4: Simplify right side
    171,351.64x = 19,686,298,023.76
  5. Step 5: Solve for x
    x = 19,686,298,023.76/171,351.64
  6. Step 6: Final answer
    x = 114,888.30

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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.