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Finding the Fourth Proportional to 135,046.73, 202,613.84 and 64,916.93

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Solution

The fourth proportional to 135,046.73, 202,613.84 and 64,916.93 is: 97,396.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,046.73 : 202,613.84 = 64,916.93 : x
  2. Step 2: Convert to fraction form
    135,046.73/202,613.84 = 64,916.93/x
  3. Step 3: Cross multiply
    135,046.73x = 202,613.84 × 64,916.93
  4. Step 4: Simplify right side
    135,046.73x = 13,153,068,468.31
  5. Step 5: Solve for x
    x = 13,153,068,468.31/135,046.73
  6. Step 6: Final answer
    x = 97,396.42

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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.