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Finding the Fourth Proportional to 128,008.24, 176,651.88 and 71,422

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Solution

The fourth proportional to 128,008.24, 176,651.88 and 71,422 is: 98,562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,008.24 : 176,651.88 = 71,422 : x
  2. Step 2: Convert to fraction form
    128,008.24/176,651.88 = 71,422/x
  3. Step 3: Cross multiply
    128,008.24x = 176,651.88 × 71,422
  4. Step 4: Simplify right side
    128,008.24x = 12,616,830,573.36
  5. Step 5: Solve for x
    x = 12,616,830,573.36/128,008.24
  6. Step 6: Final answer
    x = 98,562.64

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