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Finding the Fourth Proportional to 275,346.09, 413,143.02 and 148,838.19

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Solution

The fourth proportional to 275,346.09, 413,143.02 and 148,838.19 is: 223,324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,346.09 : 413,143.02 = 148,838.19 : x
  2. Step 2: Convert to fraction form
    275,346.09/413,143.02 = 148,838.19/x
  3. Step 3: Cross multiply
    275,346.09x = 413,143.02 × 148,838.19
  4. Step 4: Simplify right side
    275,346.09x = 61,491,459,307.93
  5. Step 5: Solve for x
    x = 61,491,459,307.93/275,346.09
  6. Step 6: Final answer
    x = 223,324.25

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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.