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Finding the Fourth Proportional to 128,193.32, 192,028.86 and 104,585

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Solution

The fourth proportional to 128,193.32, 192,028.86 and 104,585 is: 156,664.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,193.32 : 192,028.86 = 104,585 : x
  2. Step 2: Convert to fraction form
    128,193.32/192,028.86 = 104,585/x
  3. Step 3: Cross multiply
    128,193.32x = 192,028.86 × 104,585
  4. Step 4: Simplify right side
    128,193.32x = 20,083,338,323.10
  5. Step 5: Solve for x
    x = 20,083,338,323.10/128,193.32
  6. Step 6: Final answer
    x = 156,664.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.