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Finding the Fourth Proportional to 128,005.76, 176,656.44 and 71,418.34

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Solution

The fourth proportional to 128,005.76, 176,656.44 and 71,418.34 is: 98,562.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,005.76 : 176,656.44 = 71,418.34 : x
  2. Step 2: Convert to fraction form
    128,005.76/176,656.44 = 71,418.34/x
  3. Step 3: Cross multiply
    128,005.76x = 176,656.44 × 71,418.34
  4. Step 4: Simplify right side
    128,005.76x = 12,616,509,695.11
  5. Step 5: Solve for x
    x = 12,616,509,695.11/128,005.76
  6. Step 6: Final answer
    x = 98,562.05

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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.