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Finding the Fourth Proportional to 160,419.48, 221,384.10 and 92,431.18

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Solution

The fourth proportional to 160,419.48, 221,384.10 and 92,431.18 is: 127,558.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,419.48 : 221,384.10 = 92,431.18 : x
  2. Step 2: Convert to fraction form
    160,419.48/221,384.10 = 92,431.18/x
  3. Step 3: Cross multiply
    160,419.48x = 221,384.10 × 92,431.18
  4. Step 4: Simplify right side
    160,419.48x = 20,462,793,596.24
  5. Step 5: Solve for x
    x = 20,462,793,596.24/160,419.48
  6. Step 6: Final answer
    x = 127,558.03

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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.