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Finding the Fourth Proportional to 271,935.65, 407,798.57 and 103,367.36

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Solution

The fourth proportional to 271,935.65, 407,798.57 and 103,367.36 is: 155,011.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,935.65 : 407,798.57 = 103,367.36 : x
  2. Step 2: Convert to fraction form
    271,935.65/407,798.57 = 103,367.36/x
  3. Step 3: Cross multiply
    271,935.65x = 407,798.57 × 103,367.36
  4. Step 4: Simplify right side
    271,935.65x = 42,153,059,036.85
  5. Step 5: Solve for x
    x = 42,153,059,036.85/271,935.65
  6. Step 6: Final answer
    x = 155,011.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.