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Finding the Fourth Proportional to 196,428, 271,070.64 and 107,004

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Solution

The fourth proportional to 196,428, 271,070.64 and 107,004 is: 147,665.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,428 : 271,070.64 = 107,004 : x
  2. Step 2: Convert to fraction form
    196,428/271,070.64 = 107,004/x
  3. Step 3: Cross multiply
    196,428x = 271,070.64 × 107,004
  4. Step 4: Simplify right side
    196,428x = 29,005,642,762.56
  5. Step 5: Solve for x
    x = 29,005,642,762.56/196,428
  6. Step 6: Final answer
    x = 147,665.52

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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.