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Finding the Fourth Proportional to 137,580.72, 189,859.48 and 77,151.32

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Solution

The fourth proportional to 137,580.72, 189,859.48 and 77,151.32 is: 106,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,580.72 : 189,859.48 = 77,151.32 : x
  2. Step 2: Convert to fraction form
    137,580.72/189,859.48 = 77,151.32/x
  3. Step 3: Cross multiply
    137,580.72x = 189,859.48 × 77,151.32
  4. Step 4: Simplify right side
    137,580.72x = 14,647,909,496.51
  5. Step 5: Solve for x
    x = 14,647,909,496.51/137,580.72
  6. Step 6: Final answer
    x = 106,467.75

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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.