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Finding the Fourth Proportional to 189,346.64, 262,402.94 and 186,674

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Solution

The fourth proportional to 189,346.64, 262,402.94 and 186,674 is: 258,699.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,346.64 : 262,402.94 = 186,674 : x
  2. Step 2: Convert to fraction form
    189,346.64/262,402.94 = 186,674/x
  3. Step 3: Cross multiply
    189,346.64x = 262,402.94 × 186,674
  4. Step 4: Simplify right side
    189,346.64x = 48,983,806,421.56
  5. Step 5: Solve for x
    x = 48,983,806,421.56/189,346.64
  6. Step 6: Final answer
    x = 258,699.11

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.