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Finding the Fourth Proportional to 138,655.37, 191,339.99 and 78,225.20

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Solution

The fourth proportional to 138,655.37, 191,339.99 and 78,225.20 is: 107,948.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,655.37 : 191,339.99 = 78,225.20 : x
  2. Step 2: Convert to fraction form
    138,655.37/191,339.99 = 78,225.20/x
  3. Step 3: Cross multiply
    138,655.37x = 191,339.99 × 78,225.20
  4. Step 4: Simplify right side
    138,655.37x = 14,967,608,985.75
  5. Step 5: Solve for x
    x = 14,967,608,985.75/138,655.37
  6. Step 6: Final answer
    x = 107,948.29

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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.