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Finding the Fourth Proportional to 307,049.90, 460,639.65 and 96,709.10

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Solution

The fourth proportional to 307,049.90, 460,639.65 and 96,709.10 is: 145,084.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,049.90 : 460,639.65 = 96,709.10 : x
  2. Step 2: Convert to fraction form
    307,049.90/460,639.65 = 96,709.10/x
  3. Step 3: Cross multiply
    307,049.90x = 460,639.65 × 96,709.10
  4. Step 4: Simplify right side
    307,049.90x = 44,548,045,975.82
  5. Step 5: Solve for x
    x = 44,548,045,975.82/307,049.90
  6. Step 6: Final answer
    x = 145,084.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.