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Finding the Fourth Proportional to 137,114.46, 189,210.06 and 75,857.04

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Solution

The fourth proportional to 137,114.46, 189,210.06 and 75,857.04 is: 104,678.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,114.46 : 189,210.06 = 75,857.04 : x
  2. Step 2: Convert to fraction form
    137,114.46/189,210.06 = 75,857.04/x
  3. Step 3: Cross multiply
    137,114.46x = 189,210.06 × 75,857.04
  4. Step 4: Simplify right side
    137,114.46x = 14,352,915,089.82
  5. Step 5: Solve for x
    x = 14,352,915,089.82/137,114.46
  6. Step 6: Final answer
    x = 104,678.35

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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.