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Finding the Fourth Proportional to 348,613.57, 523,141.57 and 148,935.47

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Solution

The fourth proportional to 348,613.57, 523,141.57 and 148,935.47 is: 223,497.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,613.57 : 523,141.57 = 148,935.47 : x
  2. Step 2: Convert to fraction form
    348,613.57/523,141.57 = 148,935.47/x
  3. Step 3: Cross multiply
    348,613.57x = 523,141.57 × 148,935.47
  4. Step 4: Simplify right side
    348,613.57x = 77,914,333,174.95
  5. Step 5: Solve for x
    x = 77,914,333,174.95/348,613.57
  6. Step 6: Final answer
    x = 223,497.71

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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.