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Finding the Fourth Proportional to 189,088.32, 260,941.94 and 103,047.34

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Solution

The fourth proportional to 189,088.32, 260,941.94 and 103,047.34 is: 142,205.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,088.32 : 260,941.94 = 103,047.34 : x
  2. Step 2: Convert to fraction form
    189,088.32/260,941.94 = 103,047.34/x
  3. Step 3: Cross multiply
    189,088.32x = 260,941.94 × 103,047.34
  4. Step 4: Simplify right side
    189,088.32x = 26,889,372,519.54
  5. Step 5: Solve for x
    x = 26,889,372,519.54/189,088.32
  6. Step 6: Final answer
    x = 142,205.36

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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.