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Finding the Fourth Proportional to 128,271, 177,017.76 and 71,682.51

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Solution

The fourth proportional to 128,271, 177,017.76 and 71,682.51 is: 98,923.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,271 : 177,017.76 = 71,682.51 : x
  2. Step 2: Convert to fraction form
    128,271/177,017.76 = 71,682.51/x
  3. Step 3: Cross multiply
    128,271x = 177,017.76 × 71,682.51
  4. Step 4: Simplify right side
    128,271x = 12,689,077,351.38
  5. Step 5: Solve for x
    x = 12,689,077,351.38/128,271
  6. Step 6: Final answer
    x = 98,923.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.