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Finding the Fourth Proportional to 155,858.52, 233,797.63 and 65,884.46

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Solution

The fourth proportional to 155,858.52, 233,797.63 and 65,884.46 is: 98,830.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,858.52 : 233,797.63 = 65,884.46 : x
  2. Step 2: Convert to fraction form
    155,858.52/233,797.63 = 65,884.46/x
  3. Step 3: Cross multiply
    155,858.52x = 233,797.63 × 65,884.46
  4. Step 4: Simplify right side
    155,858.52x = 15,403,630,819.83
  5. Step 5: Solve for x
    x = 15,403,630,819.83/155,858.52
  6. Step 6: Final answer
    x = 98,830.86

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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.