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Finding the Fourth Proportional to 128,504.86, 177,417.20 and 82,583.12

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Solution

The fourth proportional to 128,504.86, 177,417.20 and 82,583.12 is: 114,016.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,504.86 : 177,417.20 = 82,583.12 : x
  2. Step 2: Convert to fraction form
    128,504.86/177,417.20 = 82,583.12/x
  3. Step 3: Cross multiply
    128,504.86x = 177,417.20 × 82,583.12
  4. Step 4: Simplify right side
    128,504.86x = 14,651,666,567.66
  5. Step 5: Solve for x
    x = 14,651,666,567.66/128,504.86
  6. Step 6: Final answer
    x = 114,016.44

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1.5x scale

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.