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Finding the Fourth Proportional to 128,297.67, 177,056.19 and 71,709

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Solution

The fourth proportional to 128,297.67, 177,056.19 and 71,709 is: 98,961.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,297.67 : 177,056.19 = 71,709 : x
  2. Step 2: Convert to fraction form
    128,297.67/177,056.19 = 71,709/x
  3. Step 3: Cross multiply
    128,297.67x = 177,056.19 × 71,709
  4. Step 4: Simplify right side
    128,297.67x = 12,696,522,328.71
  5. Step 5: Solve for x
    x = 12,696,522,328.71/128,297.67
  6. Step 6: Final answer
    x = 98,961.44

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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.