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Finding the Fourth Proportional to 196,482.24, 271,145.52 and 107,058.24

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Solution

The fourth proportional to 196,482.24, 271,145.52 and 107,058.24 is: 147,740.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,482.24 : 271,145.52 = 107,058.24 : x
  2. Step 2: Convert to fraction form
    196,482.24/271,145.52 = 107,058.24/x
  3. Step 3: Cross multiply
    196,482.24x = 271,145.52 × 107,058.24
  4. Step 4: Simplify right side
    196,482.24x = 29,028,362,155.08
  5. Step 5: Solve for x
    x = 29,028,362,155.08/196,482.24
  6. Step 6: Final answer
    x = 147,740.39

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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.