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Finding the Fourth Proportional to 301,827.43, 452,739.52 and 77,187.50

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Solution

The fourth proportional to 301,827.43, 452,739.52 and 77,187.50 is: 115,780.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,827.43 : 452,739.52 = 77,187.50 : x
  2. Step 2: Convert to fraction form
    301,827.43/452,739.52 = 77,187.50/x
  3. Step 3: Cross multiply
    301,827.43x = 452,739.52 × 77,187.50
  4. Step 4: Simplify right side
    301,827.43x = 34,945,831,700
  5. Step 5: Solve for x
    x = 34,945,831,700/301,827.43
  6. Step 6: Final answer
    x = 115,780.83

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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.