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Finding the Fourth Proportional to 230,865.30, 346,330.35 and 73,077.30

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Solution

The fourth proportional to 230,865.30, 346,330.35 and 73,077.30 is: 109,626.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,865.30 : 346,330.35 = 73,077.30 : x
  2. Step 2: Convert to fraction form
    230,865.30/346,330.35 = 73,077.30/x
  3. Step 3: Cross multiply
    230,865.30x = 346,330.35 × 73,077.30
  4. Step 4: Simplify right side
    230,865.30x = 25,308,886,886.06
  5. Step 5: Solve for x
    x = 25,308,886,886.06/230,865.30
  6. Step 6: Final answer
    x = 109,626.21

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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.