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Finding the Fourth Proportional to 134,468.69, 201,662.91 and 45,702

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Solution

The fourth proportional to 134,468.69, 201,662.91 and 45,702 is: 68,539.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,468.69 : 201,662.91 = 45,702 : x
  2. Step 2: Convert to fraction form
    134,468.69/201,662.91 = 45,702/x
  3. Step 3: Cross multiply
    134,468.69x = 201,662.91 × 45,702
  4. Step 4: Simplify right side
    134,468.69x = 9,216,398,312.82
  5. Step 5: Solve for x
    x = 9,216,398,312.82/134,468.69
  6. Step 6: Final answer
    x = 68,539.37

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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.