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Finding the Fourth Proportional to 137,782.58, 190,125.27 and 77,359.86

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Solution

The fourth proportional to 137,782.58, 190,125.27 and 77,359.86 is: 106,748.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,782.58 : 190,125.27 = 77,359.86 : x
  2. Step 2: Convert to fraction form
    137,782.58/190,125.27 = 77,359.86/x
  3. Step 3: Cross multiply
    137,782.58x = 190,125.27 × 77,359.86
  4. Step 4: Simplify right side
    137,782.58x = 14,708,064,269.66
  5. Step 5: Solve for x
    x = 14,708,064,269.66/137,782.58
  6. Step 6: Final answer
    x = 106,748.36

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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.