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Finding the Fourth Proportional to 235,902.31, 353,558.36 and 185,784.47

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Solution

The fourth proportional to 235,902.31, 353,558.36 and 185,784.47 is: 278,444.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,902.31 : 353,558.36 = 185,784.47 : x
  2. Step 2: Convert to fraction form
    235,902.31/353,558.36 = 185,784.47/x
  3. Step 3: Cross multiply
    235,902.31x = 353,558.36 × 185,784.47
  4. Step 4: Simplify right side
    235,902.31x = 65,685,652,526.67
  5. Step 5: Solve for x
    x = 65,685,652,526.67/235,902.31
  6. Step 6: Final answer
    x = 278,444.30

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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.