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Finding the Fourth Proportional to 137,509.34, 189,771.66 and 77,080.01

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Solution

The fourth proportional to 137,509.34, 189,771.66 and 77,080.01 is: 106,375.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,509.34 : 189,771.66 = 77,080.01 : x
  2. Step 2: Convert to fraction form
    137,509.34/189,771.66 = 77,080.01/x
  3. Step 3: Cross multiply
    137,509.34x = 189,771.66 × 77,080.01
  4. Step 4: Simplify right side
    137,509.34x = 14,627,601,065.12
  5. Step 5: Solve for x
    x = 14,627,601,065.12/137,509.34
  6. Step 6: Final answer
    x = 106,375.33

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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.