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Finding the Fourth Proportional to 146,214.40, 201,869.67 and 119,421.22

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Solution

The fourth proportional to 146,214.40, 201,869.67 and 119,421.22 is: 164,877.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,214.40 : 201,869.67 = 119,421.22 : x
  2. Step 2: Convert to fraction form
    146,214.40/201,869.67 = 119,421.22/x
  3. Step 3: Cross multiply
    146,214.40x = 201,869.67 × 119,421.22
  4. Step 4: Simplify right side
    146,214.40x = 24,107,522,272.40
  5. Step 5: Solve for x
    x = 24,107,522,272.40/146,214.40
  6. Step 6: Final answer
    x = 164,877.89

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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.