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Finding the Fourth Proportional to 160,406.42, 221,384.19 and 92,410.16

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Solution

The fourth proportional to 160,406.42, 221,384.19 and 92,410.16 is: 127,539.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,406.42 : 221,384.19 = 92,410.16 : x
  2. Step 2: Convert to fraction form
    160,406.42/221,384.19 = 92,410.16/x
  3. Step 3: Cross multiply
    160,406.42x = 221,384.19 × 92,410.16
  4. Step 4: Simplify right side
    160,406.42x = 20,458,148,419.37
  5. Step 5: Solve for x
    x = 20,458,148,419.37/160,406.42
  6. Step 6: Final answer
    x = 127,539.46

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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.