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Finding the Fourth Proportional to 196,748, 271,512.24 and 107,324

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Solution

The fourth proportional to 196,748, 271,512.24 and 107,324 is: 148,107.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,748 : 271,512.24 = 107,324 : x
  2. Step 2: Convert to fraction form
    196,748/271,512.24 = 107,324/x
  3. Step 3: Cross multiply
    196,748x = 271,512.24 × 107,324
  4. Step 4: Simplify right side
    196,748x = 29,139,779,645.76
  5. Step 5: Solve for x
    x = 29,139,779,645.76/196,748
  6. Step 6: Final answer
    x = 148,107.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.