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Finding the Fourth Proportional to 307,763.94, 461,705.75 and 118,210.38

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Solution

The fourth proportional to 307,763.94, 461,705.75 and 118,210.38 is: 177,338.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,763.94 : 461,705.75 = 118,210.38 : x
  2. Step 2: Convert to fraction form
    307,763.94/461,705.75 = 118,210.38/x
  3. Step 3: Cross multiply
    307,763.94x = 461,705.75 × 118,210.38
  4. Step 4: Simplify right side
    307,763.94x = 54,578,412,155.69
  5. Step 5: Solve for x
    x = 54,578,412,155.69/307,763.94
  6. Step 6: Final answer
    x = 177,338.55

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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.