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Finding the Fourth Proportional to 128,816.37, 177,776.91 and 71,461.35

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Solution

The fourth proportional to 128,816.37, 177,776.91 and 71,461.35 is: 98,622.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,816.37 : 177,776.91 = 71,461.35 : x
  2. Step 2: Convert to fraction form
    128,816.37/177,776.91 = 71,461.35/x
  3. Step 3: Cross multiply
    128,816.37x = 177,776.91 × 71,461.35
  4. Step 4: Simplify right side
    128,816.37x = 12,704,177,987.43
  5. Step 5: Solve for x
    x = 12,704,177,987.43/128,816.37
  6. Step 6: Final answer
    x = 98,622.39

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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.