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Finding the Fourth Proportional to 137,789.86, 190,148.34 and 77,359

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Solution

The fourth proportional to 137,789.86, 190,148.34 and 77,359 is: 106,754.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,789.86 : 190,148.34 = 77,359 : x
  2. Step 2: Convert to fraction form
    137,789.86/190,148.34 = 77,359/x
  3. Step 3: Cross multiply
    137,789.86x = 190,148.34 × 77,359
  4. Step 4: Simplify right side
    137,789.86x = 14,709,685,434.06
  5. Step 5: Solve for x
    x = 14,709,685,434.06/137,789.86
  6. Step 6: Final answer
    x = 106,754.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.