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Finding the Fourth Proportional to 135,289.60, 202,934.40 and 61,417.60

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Solution

The fourth proportional to 135,289.60, 202,934.40 and 61,417.60 is: 92,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,289.60 : 202,934.40 = 61,417.60 : x
  2. Step 2: Convert to fraction form
    135,289.60/202,934.40 = 61,417.60/x
  3. Step 3: Cross multiply
    135,289.60x = 202,934.40 × 61,417.60
  4. Step 4: Simplify right side
    135,289.60x = 12,463,743,805.44
  5. Step 5: Solve for x
    x = 12,463,743,805.44/135,289.60
  6. Step 6: Final answer
    x = 92,126.40

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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.