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Finding the Fourth Proportional to 122,333.81, 183,533.52 and 97,467.62

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Solution

The fourth proportional to 122,333.81, 183,533.52 and 97,467.62 is: 146,227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,333.81 : 183,533.52 = 97,467.62 : x
  2. Step 2: Convert to fraction form
    122,333.81/183,533.52 = 97,467.62/x
  3. Step 3: Cross multiply
    122,333.81x = 183,533.52 × 97,467.62
  4. Step 4: Simplify right side
    122,333.81x = 17,888,575,384.62
  5. Step 5: Solve for x
    x = 17,888,575,384.62/122,333.81
  6. Step 6: Final answer
    x = 146,227.57

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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.