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Finding the Fourth Proportional to 126,894.48, 175,303.98 and 83,389.92

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Solution

The fourth proportional to 126,894.48, 175,303.98 and 83,389.92 is: 115,202.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,894.48 : 175,303.98 = 83,389.92 : x
  2. Step 2: Convert to fraction form
    126,894.48/175,303.98 = 83,389.92/x
  3. Step 3: Cross multiply
    126,894.48x = 175,303.98 × 83,389.92
  4. Step 4: Simplify right side
    126,894.48x = 14,618,584,867.88
  5. Step 5: Solve for x
    x = 14,618,584,867.88/126,894.48
  6. Step 6: Final answer
    x = 115,202.69

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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.