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Finding the Fourth Proportional to 160,419.98, 221,384.79 and 92,431.68

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Solution

The fourth proportional to 160,419.98, 221,384.79 and 92,431.68 is: 127,558.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,419.98 : 221,384.79 = 92,431.68 : x
  2. Step 2: Convert to fraction form
    160,419.98/221,384.79 = 92,431.68/x
  3. Step 3: Cross multiply
    160,419.98x = 221,384.79 × 92,431.68
  4. Step 4: Simplify right side
    160,419.98x = 20,462,968,066.15
  5. Step 5: Solve for x
    x = 20,462,968,066.15/160,419.98
  6. Step 6: Final answer
    x = 127,558.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.