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Finding the Fourth Proportional to 189,352.64, 262,411.28 and 186,680

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Solution

The fourth proportional to 189,352.64, 262,411.28 and 186,680 is: 258,707.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,352.64 : 262,411.28 = 186,680 : x
  2. Step 2: Convert to fraction form
    189,352.64/262,411.28 = 186,680/x
  3. Step 3: Cross multiply
    189,352.64x = 262,411.28 × 186,680
  4. Step 4: Simplify right side
    189,352.64x = 48,986,937,750.40
  5. Step 5: Solve for x
    x = 48,986,937,750.40/189,352.64
  6. Step 6: Final answer
    x = 258,707.45

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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.