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Finding the Fourth Proportional to 196,429.92, 271,075.14 and 111,548.76

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Solution

The fourth proportional to 196,429.92, 271,075.14 and 111,548.76 is: 153,938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,429.92 : 271,075.14 = 111,548.76 : x
  2. Step 2: Convert to fraction form
    196,429.92/271,075.14 = 111,548.76/x
  3. Step 3: Cross multiply
    196,429.92x = 271,075.14 × 111,548.76
  4. Step 4: Simplify right side
    196,429.92x = 30,238,095,733.83
  5. Step 5: Solve for x
    x = 30,238,095,733.83/196,429.92
  6. Step 6: Final answer
    x = 153,938.34

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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.