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Finding the Fourth Proportional to 301,300.25, 415,989.12 and 186,700.50

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Solution

The fourth proportional to 301,300.25, 415,989.12 and 186,700.50 is: 257,767.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,300.25 : 415,989.12 = 186,700.50 : x
  2. Step 2: Convert to fraction form
    301,300.25/415,989.12 = 186,700.50/x
  3. Step 3: Cross multiply
    301,300.25x = 415,989.12 × 186,700.50
  4. Step 4: Simplify right side
    301,300.25x = 77,665,377,398.69
  5. Step 5: Solve for x
    x = 77,665,377,398.69/301,300.25
  6. Step 6: Final answer
    x = 257,767.39

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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.