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Finding the Fourth Proportional to 201,920.20, 278,646.06 and 117,045.16

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Solution

The fourth proportional to 201,920.20, 278,646.06 and 117,045.16 is: 161,520.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,920.20 : 278,646.06 = 117,045.16 : x
  2. Step 2: Convert to fraction form
    201,920.20/278,646.06 = 117,045.16/x
  3. Step 3: Cross multiply
    201,920.20x = 278,646.06 × 117,045.16
  4. Step 4: Simplify right side
    201,920.20x = 32,614,172,676.07
  5. Step 5: Solve for x
    x = 32,614,172,676.07/201,920.20
  6. Step 6: Final answer
    x = 161,520.11

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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.