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Finding the Fourth Proportional to 171,677.16, 257,510.16 and 51,734.76

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Solution

The fourth proportional to 171,677.16, 257,510.16 and 51,734.76 is: 77,600.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,677.16 : 257,510.16 = 51,734.76 : x
  2. Step 2: Convert to fraction form
    171,677.16/257,510.16 = 51,734.76/x
  3. Step 3: Cross multiply
    171,677.16x = 257,510.16 × 51,734.76
  4. Step 4: Simplify right side
    171,677.16x = 13,322,226,325.16
  5. Step 5: Solve for x
    x = 13,322,226,325.16/171,677.16
  6. Step 6: Final answer
    x = 77,600.46

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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.