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Finding the Fourth Proportional to 160,405.42, 221,382.81 and 92,409.16

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Solution

The fourth proportional to 160,405.42, 221,382.81 and 92,409.16 is: 127,538.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,405.42 : 221,382.81 = 92,409.16 : x
  2. Step 2: Convert to fraction form
    160,405.42/221,382.81 = 92,409.16/x
  3. Step 3: Cross multiply
    160,405.42x = 221,382.81 × 92,409.16
  4. Step 4: Simplify right side
    160,405.42x = 20,457,799,510.54
  5. Step 5: Solve for x
    x = 20,457,799,510.54/160,405.42
  6. Step 6: Final answer
    x = 127,538.08

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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.