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Finding the Fourth Proportional to 201,097.90, 301,646.85 and 82,854.10

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Solution

The fourth proportional to 201,097.90, 301,646.85 and 82,854.10 is: 124,281.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,097.90 : 301,646.85 = 82,854.10 : x
  2. Step 2: Convert to fraction form
    201,097.90/301,646.85 = 82,854.10/x
  3. Step 3: Cross multiply
    201,097.90x = 301,646.85 × 82,854.10
  4. Step 4: Simplify right side
    201,097.90x = 24,992,678,274.59
  5. Step 5: Solve for x
    x = 24,992,678,274.59/201,097.90
  6. Step 6: Final answer
    x = 124,281.15

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Why These Related Problems?

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