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Finding the Fourth Proportional to 304,193.68, 456,354.75 and 114,650.02

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Solution

The fourth proportional to 304,193.68, 456,354.75 and 114,650.02 is: 171,999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,193.68 : 456,354.75 = 114,650.02 : x
  2. Step 2: Convert to fraction form
    304,193.68/456,354.75 = 114,650.02/x
  3. Step 3: Cross multiply
    304,193.68x = 456,354.75 × 114,650.02
  4. Step 4: Simplify right side
    304,193.68x = 52,321,081,214.60
  5. Step 5: Solve for x
    x = 52,321,081,214.60/304,193.68
  6. Step 6: Final answer
    x = 171,999.24

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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.