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Finding the Fourth Proportional to 307,077.65, 460,616.46 and 119,957.93

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Solution

The fourth proportional to 307,077.65, 460,616.46 and 119,957.93 is: 179,936.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,077.65 : 460,616.46 = 119,957.93 : x
  2. Step 2: Convert to fraction form
    307,077.65/460,616.46 = 119,957.93/x
  3. Step 3: Cross multiply
    307,077.65x = 460,616.46 × 119,957.93
  4. Step 4: Simplify right side
    307,077.65x = 55,254,597,065.53
  5. Step 5: Solve for x
    x = 55,254,597,065.53/307,077.65
  6. Step 6: Final answer
    x = 179,936.89

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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.