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Finding the Fourth Proportional to 301,136.02, 415,602.40 and 180,277.26

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Solution

The fourth proportional to 301,136.02, 415,602.40 and 180,277.26 is: 248,803.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,136.02 : 415,602.40 = 180,277.26 : x
  2. Step 2: Convert to fraction form
    301,136.02/415,602.40 = 180,277.26/x
  3. Step 3: Cross multiply
    301,136.02x = 415,602.40 × 180,277.26
  4. Step 4: Simplify right side
    301,136.02x = 74,923,661,921.42
  5. Step 5: Solve for x
    x = 74,923,661,921.42/301,136.02
  6. Step 6: Final answer
    x = 248,803.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.