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Finding the Fourth Proportional to 150,064.81, 225,097.59 and 61,318.32

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Solution

The fourth proportional to 150,064.81, 225,097.59 and 61,318.32 is: 91,977.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,064.81 : 225,097.59 = 61,318.32 : x
  2. Step 2: Convert to fraction form
    150,064.81/225,097.59 = 61,318.32/x
  3. Step 3: Cross multiply
    150,064.81x = 225,097.59 × 61,318.32
  4. Step 4: Simplify right side
    150,064.81x = 13,802,605,440.68
  5. Step 5: Solve for x
    x = 13,802,605,440.68/150,064.81
  6. Step 6: Final answer
    x = 91,977.63

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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.