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Finding the Fourth Proportional to 201,322.83, 301,762.82 and 82,929.60

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Solution

The fourth proportional to 201,322.83, 301,762.82 and 82,929.60 is: 124,303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,322.83 : 301,762.82 = 82,929.60 : x
  2. Step 2: Convert to fraction form
    201,322.83/301,762.82 = 82,929.60/x
  3. Step 3: Cross multiply
    201,322.83x = 301,762.82 × 82,929.60
  4. Step 4: Simplify right side
    201,322.83x = 25,025,069,542.82
  5. Step 5: Solve for x
    x = 25,025,069,542.82/201,322.83
  6. Step 6: Final answer
    x = 124,303.19

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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.