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Finding the Fourth Proportional to 128,194.90, 176,911.74 and 71,606.40

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Solution

The fourth proportional to 128,194.90, 176,911.74 and 71,606.40 is: 98,818.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,194.90 : 176,911.74 = 71,606.40 : x
  2. Step 2: Convert to fraction form
    128,194.90/176,911.74 = 71,606.40/x
  3. Step 3: Cross multiply
    128,194.90x = 176,911.74 × 71,606.40
  4. Step 4: Simplify right side
    128,194.90x = 12,668,012,819.14
  5. Step 5: Solve for x
    x = 12,668,012,819.14/128,194.90
  6. Step 6: Final answer
    x = 98,818.38

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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.