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Finding the Fourth Proportional to 223,284.42, 308,136 and 121,311.90

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Solution

The fourth proportional to 223,284.42, 308,136 and 121,311.90 is: 167,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,284.42 : 308,136 = 121,311.90 : x
  2. Step 2: Convert to fraction form
    223,284.42/308,136 = 121,311.90/x
  3. Step 3: Cross multiply
    223,284.42x = 308,136 × 121,311.90
  4. Step 4: Simplify right side
    223,284.42x = 37,380,563,618.40
  5. Step 5: Solve for x
    x = 37,380,563,618.40/223,284.42
  6. Step 6: Final answer
    x = 167,412.32

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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.