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Finding the Fourth Proportional to 138,204.76, 190,720.26 and 77,775.40

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Solution

The fourth proportional to 138,204.76, 190,720.26 and 77,775.40 is: 107,328.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,204.76 : 190,720.26 = 77,775.40 : x
  2. Step 2: Convert to fraction form
    138,204.76/190,720.26 = 77,775.40/x
  3. Step 3: Cross multiply
    138,204.76x = 190,720.26 × 77,775.40
  4. Step 4: Simplify right side
    138,204.76x = 14,833,344,509.60
  5. Step 5: Solve for x
    x = 14,833,344,509.60/138,204.76
  6. Step 6: Final answer
    x = 107,328.75

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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.