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Finding the Fourth Proportional to 196,547.64, 271,201.70 and 115,969.08

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Solution

The fourth proportional to 196,547.64, 271,201.70 and 115,969.08 is: 160,017.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,547.64 : 271,201.70 = 115,969.08 : x
  2. Step 2: Convert to fraction form
    196,547.64/271,201.70 = 115,969.08/x
  3. Step 3: Cross multiply
    196,547.64x = 271,201.70 × 115,969.08
  4. Step 4: Simplify right side
    196,547.64x = 31,451,011,643.44
  5. Step 5: Solve for x
    x = 31,451,011,643.44/196,547.64
  6. Step 6: Final answer
    x = 160,017.24

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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.