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Finding the Fourth Proportional to 200,662.47, 301,043.93 and 141,613.47

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Solution

The fourth proportional to 200,662.47, 301,043.93 and 141,613.47 is: 212,455.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,662.47 : 301,043.93 = 141,613.47 : x
  2. Step 2: Convert to fraction form
    200,662.47/301,043.93 = 141,613.47/x
  3. Step 3: Cross multiply
    200,662.47x = 301,043.93 × 141,613.47
  4. Step 4: Simplify right side
    200,662.47x = 42,631,874,841.67
  5. Step 5: Solve for x
    x = 42,631,874,841.67/200,662.47
  6. Step 6: Final answer
    x = 212,455.65

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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.