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Finding the Fourth Proportional to 189,509.34, 261,511.62 and 103,451.16

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Solution

The fourth proportional to 189,509.34, 261,511.62 and 103,451.16 is: 142,756.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,509.34 : 261,511.62 = 103,451.16 : x
  2. Step 2: Convert to fraction form
    189,509.34/261,511.62 = 103,451.16/x
  3. Step 3: Cross multiply
    189,509.34x = 261,511.62 × 103,451.16
  4. Step 4: Simplify right side
    189,509.34x = 27,053,680,442.48
  5. Step 5: Solve for x
    x = 27,053,680,442.48/189,509.34
  6. Step 6: Final answer
    x = 142,756.45

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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.