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Finding the Fourth Proportional to 250,182, 345,252.24 and 137,006.64

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Solution

The fourth proportional to 250,182, 345,252.24 and 137,006.64 is: 189,069.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,182 : 345,252.24 = 137,006.64 : x
  2. Step 2: Convert to fraction form
    250,182/345,252.24 = 137,006.64/x
  3. Step 3: Cross multiply
    250,182x = 345,252.24 × 137,006.64
  4. Step 4: Simplify right side
    250,182x = 47,301,849,354.87
  5. Step 5: Solve for x
    x = 47,301,849,354.87/250,182
  6. Step 6: Final answer
    x = 189,069.75

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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.