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Finding the Fourth Proportional to 160,798.12, 221,909.70 and 120,985

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Solution

The fourth proportional to 160,798.12, 221,909.70 and 120,985 is: 166,965.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,798.12 : 221,909.70 = 120,985 : x
  2. Step 2: Convert to fraction form
    160,798.12/221,909.70 = 120,985/x
  3. Step 3: Cross multiply
    160,798.12x = 221,909.70 × 120,985
  4. Step 4: Simplify right side
    160,798.12x = 26,847,745,054.50
  5. Step 5: Solve for x
    x = 26,847,745,054.50/160,798.12
  6. Step 6: Final answer
    x = 166,965.54

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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.