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Finding the Fourth Proportional to 200,720.90, 301,081.35 and 82,477.10

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Solution

The fourth proportional to 200,720.90, 301,081.35 and 82,477.10 is: 123,715.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,720.90 : 301,081.35 = 82,477.10 : x
  2. Step 2: Convert to fraction form
    200,720.90/301,081.35 = 82,477.10/x
  3. Step 3: Cross multiply
    200,720.90x = 301,081.35 × 82,477.10
  4. Step 4: Simplify right side
    200,720.90x = 24,832,316,612.09
  5. Step 5: Solve for x
    x = 24,832,316,612.09/200,720.90
  6. Step 6: Final answer
    x = 123,715.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.