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Finding the Fourth Proportional to 128,408.52, 177,200.82 and 71,825.16

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Solution

The fourth proportional to 128,408.52, 177,200.82 and 71,825.16 is: 99,117.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,408.52 : 177,200.82 = 71,825.16 : x
  2. Step 2: Convert to fraction form
    128,408.52/177,200.82 = 71,825.16/x
  3. Step 3: Cross multiply
    128,408.52x = 177,200.82 × 71,825.16
  4. Step 4: Simplify right side
    128,408.52x = 12,727,477,248.63
  5. Step 5: Solve for x
    x = 12,727,477,248.63/128,408.52
  6. Step 6: Final answer
    x = 99,117.08

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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.