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Finding the Fourth Proportional to 230,798.06, 346,216.53 and 73,023.02

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Solution

The fourth proportional to 230,798.06, 346,216.53 and 73,023.02 is: 109,540.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,798.06 : 346,216.53 = 73,023.02 : x
  2. Step 2: Convert to fraction form
    230,798.06/346,216.53 = 73,023.02/x
  3. Step 3: Cross multiply
    230,798.06x = 346,216.53 × 73,023.02
  4. Step 4: Simplify right side
    230,798.06x = 25,281,776,594.52
  5. Step 5: Solve for x
    x = 25,281,776,594.52/230,798.06
  6. Step 6: Final answer
    x = 109,540.68

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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.